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Finding the Fourth Proportional to 14,689.52, 20,257.56 and 9,658

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Solution

The fourth proportional to 14,689.52, 20,257.56 and 9,658 is: 13,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.52 : 20,257.56 = 9,658 : x
  2. Step 2: Convert to fraction form
    14,689.52/20,257.56 = 9,658/x
  3. Step 3: Cross multiply
    14,689.52x = 20,257.56 × 9,658
  4. Step 4: Simplify right side
    14,689.52x = 195,647,514.48
  5. Step 5: Solve for x
    x = 195,647,514.48/14,689.52
  6. Step 6: Final answer
    x = 13,318.85

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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.