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Finding the Fourth Proportional to 24,675.14, 34,052.50 and 13,497.14

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Solution

The fourth proportional to 24,675.14, 34,052.50 and 13,497.14 is: 18,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.14 : 34,052.50 = 13,497.14 : x
  2. Step 2: Convert to fraction form
    24,675.14/34,052.50 = 13,497.14/x
  3. Step 3: Cross multiply
    24,675.14x = 34,052.50 × 13,497.14
  4. Step 4: Simplify right side
    24,675.14x = 459,611,359.85
  5. Step 5: Solve for x
    x = 459,611,359.85/24,675.14
  6. Step 6: Final answer
    x = 18,626.49

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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.