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Finding the Fourth Proportional to 24,374.66, 33,637.25 and 14,303.27

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Solution

The fourth proportional to 24,374.66, 33,637.25 and 14,303.27 is: 19,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374.66 : 33,637.25 = 14,303.27 : x
  2. Step 2: Convert to fraction form
    24,374.66/33,637.25 = 14,303.27/x
  3. Step 3: Cross multiply
    24,374.66x = 33,637.25 × 14,303.27
  4. Step 4: Simplify right side
    24,374.66x = 481,122,500.62
  5. Step 5: Solve for x
    x = 481,122,500.62/24,374.66
  6. Step 6: Final answer
    x = 19,738.64

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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.