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Finding the Fourth Proportional to 24,854.93, 34,298.76 and 13,524.47

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Solution

The fourth proportional to 24,854.93, 34,298.76 and 13,524.47 is: 18,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.93 : 34,298.76 = 13,524.47 : x
  2. Step 2: Convert to fraction form
    24,854.93/34,298.76 = 13,524.47/x
  3. Step 3: Cross multiply
    24,854.93x = 34,298.76 × 13,524.47
  4. Step 4: Simplify right side
    24,854.93x = 463,872,379.16
  5. Step 5: Solve for x
    x = 463,872,379.16/24,854.93
  6. Step 6: Final answer
    x = 18,663.20

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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.