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Finding the Fourth Proportional to 15,861.49, 21,890.80 and 9,147.12

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Solution

The fourth proportional to 15,861.49, 21,890.80 and 9,147.12 is: 12,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.49 : 21,890.80 = 9,147.12 : x
  2. Step 2: Convert to fraction form
    15,861.49/21,890.80 = 9,147.12/x
  3. Step 3: Cross multiply
    15,861.49x = 21,890.80 × 9,147.12
  4. Step 4: Simplify right side
    15,861.49x = 200,237,724.38
  5. Step 5: Solve for x
    x = 200,237,724.38/15,861.49
  6. Step 6: Final answer
    x = 12,624.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.