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Finding the Fourth Proportional to 14,211.72, 21,324.78 and 9,585

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Solution

The fourth proportional to 14,211.72, 21,324.78 and 9,585 is: 14,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.72 : 21,324.78 = 9,585 : x
  2. Step 2: Convert to fraction form
    14,211.72/21,324.78 = 9,585/x
  3. Step 3: Cross multiply
    14,211.72x = 21,324.78 × 9,585
  4. Step 4: Simplify right side
    14,211.72x = 204,398,016.30
  5. Step 5: Solve for x
    x = 204,398,016.30/14,211.72
  6. Step 6: Final answer
    x = 14,382.36

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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.