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Finding the Fourth Proportional to 24,715.42, 34,104.72 and 14,103

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Solution

The fourth proportional to 24,715.42, 34,104.72 and 14,103 is: 19,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715.42 : 34,104.72 = 14,103 : x
  2. Step 2: Convert to fraction form
    24,715.42/34,104.72 = 14,103/x
  3. Step 3: Cross multiply
    24,715.42x = 34,104.72 × 14,103
  4. Step 4: Simplify right side
    24,715.42x = 480,978,866.16
  5. Step 5: Solve for x
    x = 480,978,866.16/24,715.42
  6. Step 6: Final answer
    x = 19,460.68

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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.