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Finding the Fourth Proportional to 24,534, 33,854.22 and 13,923.72

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Solution

The fourth proportional to 24,534, 33,854.22 and 13,923.72 is: 19,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 33,854.22 = 13,923.72 : x
  2. Step 2: Convert to fraction form
    24,534/33,854.22 = 13,923.72/x
  3. Step 3: Cross multiply
    24,534x = 33,854.22 × 13,923.72
  4. Step 4: Simplify right side
    24,534x = 471,376,680.10
  5. Step 5: Solve for x
    x = 471,376,680.10/24,534
  6. Step 6: Final answer
    x = 19,213.20

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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.