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Finding the Fourth Proportional to 24,694, 34,077.96 and 13,516.24

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Solution

The fourth proportional to 24,694, 34,077.96 and 13,516.24 is: 18,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694 : 34,077.96 = 13,516.24 : x
  2. Step 2: Convert to fraction form
    24,694/34,077.96 = 13,516.24/x
  3. Step 3: Cross multiply
    24,694x = 34,077.96 × 13,516.24
  4. Step 4: Simplify right side
    24,694x = 460,605,886.07
  5. Step 5: Solve for x
    x = 460,605,886.07/24,694
  6. Step 6: Final answer
    x = 18,652.54

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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.