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Finding the Fourth Proportional to 15,614.38, 21,541.80 and 9,948.12

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Solution

The fourth proportional to 15,614.38, 21,541.80 and 9,948.12 is: 13,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.38 : 21,541.80 = 9,948.12 : x
  2. Step 2: Convert to fraction form
    15,614.38/21,541.80 = 9,948.12/x
  3. Step 3: Cross multiply
    15,614.38x = 21,541.80 × 9,948.12
  4. Step 4: Simplify right side
    15,614.38x = 214,300,293.33
  5. Step 5: Solve for x
    x = 214,300,293.33/15,614.38
  6. Step 6: Final answer
    x = 13,724.54

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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.