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Finding the Fourth Proportional to 17,704.50, 24,432 and 9,746.55

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Solution

The fourth proportional to 17,704.50, 24,432 and 9,746.55 is: 13,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.50 : 24,432 = 9,746.55 : x
  2. Step 2: Convert to fraction form
    17,704.50/24,432 = 9,746.55/x
  3. Step 3: Cross multiply
    17,704.50x = 24,432 × 9,746.55
  4. Step 4: Simplify right side
    17,704.50x = 238,127,709.60
  5. Step 5: Solve for x
    x = 238,127,709.60/17,704.50
  6. Step 6: Final answer
    x = 13,450.12

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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.