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Finding the Fourth Proportional to 24,711.76, 34,104.67 and 14,102.99

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Solution

The fourth proportional to 24,711.76, 34,104.67 and 14,102.99 is: 19,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.76 : 34,104.67 = 14,102.99 : x
  2. Step 2: Convert to fraction form
    24,711.76/34,104.67 = 14,102.99/x
  3. Step 3: Cross multiply
    24,711.76x = 34,104.67 × 14,102.99
  4. Step 4: Simplify right side
    24,711.76x = 480,977,614.18
  5. Step 5: Solve for x
    x = 480,977,614.18/24,711.76
  6. Step 6: Final answer
    x = 19,463.51

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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.