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Finding the Fourth Proportional to 23,711.52, 35,567.16 and 9,671.49

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Solution

The fourth proportional to 23,711.52, 35,567.16 and 9,671.49 is: 14,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.52 : 35,567.16 = 9,671.49 : x
  2. Step 2: Convert to fraction form
    23,711.52/35,567.16 = 9,671.49/x
  3. Step 3: Cross multiply
    23,711.52x = 35,567.16 × 9,671.49
  4. Step 4: Simplify right side
    23,711.52x = 343,987,432.27
  5. Step 5: Solve for x
    x = 343,987,432.27/23,711.52
  6. Step 6: Final answer
    x = 14,507.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.