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Finding the Fourth Proportional to 9,843,228.80, 14,751,019.20 and 7,824,924.80

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Solution

The fourth proportional to 9,843,228.80, 14,751,019.20 and 7,824,924.80 is: 11,726,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,228.80 : 14,751,019.20 = 7,824,924.80 : x
  2. Step 2: Convert to fraction form
    9,843,228.80/14,751,019.20 = 7,824,924.80/x
  3. Step 3: Cross multiply
    9,843,228.80x = 14,751,019.20 × 7,824,924.80
  4. Step 4: Simplify right side
    9,843,228.80x = 115,425,615,963,356.16
  5. Step 5: Solve for x
    x = 115,425,615,963,356.16/9,843,228.80
  6. Step 6: Final answer
    x = 11,726,397.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.