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Finding the Fourth Proportional to 15,565.70, 21,474.52 and 9,587

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Solution

The fourth proportional to 15,565.70, 21,474.52 and 9,587 is: 13,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.70 : 21,474.52 = 9,587 : x
  2. Step 2: Convert to fraction form
    15,565.70/21,474.52 = 9,587/x
  3. Step 3: Cross multiply
    15,565.70x = 21,474.52 × 9,587
  4. Step 4: Simplify right side
    15,565.70x = 205,876,223.24
  5. Step 5: Solve for x
    x = 205,876,223.24/15,565.70
  6. Step 6: Final answer
    x = 13,226.27

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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.