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Finding the Fourth Proportional to 14,297.28, 19,730.25 and 8,009.70

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Solution

The fourth proportional to 14,297.28, 19,730.25 and 8,009.70 is: 11,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.28 : 19,730.25 = 8,009.70 : x
  2. Step 2: Convert to fraction form
    14,297.28/19,730.25 = 8,009.70/x
  3. Step 3: Cross multiply
    14,297.28x = 19,730.25 × 8,009.70
  4. Step 4: Simplify right side
    14,297.28x = 158,033,383.43
  5. Step 5: Solve for x
    x = 158,033,383.43/14,297.28
  6. Step 6: Final answer
    x = 11,053.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.