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Finding the Fourth Proportional to 17,704.64, 24,432.61 and 9,747.40

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Solution

The fourth proportional to 17,704.64, 24,432.61 and 9,747.40 is: 13,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.64 : 24,432.61 = 9,747.40 : x
  2. Step 2: Convert to fraction form
    17,704.64/24,432.61 = 9,747.40/x
  3. Step 3: Cross multiply
    17,704.64x = 24,432.61 × 9,747.40
  4. Step 4: Simplify right side
    17,704.64x = 238,154,300.55
  5. Step 5: Solve for x
    x = 238,154,300.55/17,704.64
  6. Step 6: Final answer
    x = 13,451.52

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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.