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Finding the Fourth Proportional to 24,713.48, 34,104.82 and 14,103

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Solution

The fourth proportional to 24,713.48, 34,104.82 and 14,103 is: 19,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.48 : 34,104.82 = 14,103 : x
  2. Step 2: Convert to fraction form
    24,713.48/34,104.82 = 14,103/x
  3. Step 3: Cross multiply
    24,713.48x = 34,104.82 × 14,103
  4. Step 4: Simplify right side
    24,713.48x = 480,980,276.46
  5. Step 5: Solve for x
    x = 480,980,276.46/24,713.48
  6. Step 6: Final answer
    x = 19,462.26

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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.