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Finding the Fourth Proportional to 24,539.49, 33,866.25 and 13,929.81

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Solution

The fourth proportional to 24,539.49, 33,866.25 and 13,929.81 is: 19,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.49 : 33,866.25 = 13,929.81 : x
  2. Step 2: Convert to fraction form
    24,539.49/33,866.25 = 13,929.81/x
  3. Step 3: Cross multiply
    24,539.49x = 33,866.25 × 13,929.81
  4. Step 4: Simplify right side
    24,539.49x = 471,750,427.91
  5. Step 5: Solve for x
    x = 471,750,427.91/24,539.49
  6. Step 6: Final answer
    x = 19,224.13

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