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Finding the Fourth Proportional to 24,449.47, 33,741.07 and 13,838.87

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Solution

The fourth proportional to 24,449.47, 33,741.07 and 13,838.87 is: 19,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.47 : 33,741.07 = 13,838.87 : x
  2. Step 2: Convert to fraction form
    24,449.47/33,741.07 = 13,838.87/x
  3. Step 3: Cross multiply
    24,449.47x = 33,741.07 × 13,838.87
  4. Step 4: Simplify right side
    24,449.47x = 466,938,331.15
  5. Step 5: Solve for x
    x = 466,938,331.15/24,449.47
  6. Step 6: Final answer
    x = 19,098.10

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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.