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Finding the Fourth Proportional to 15,866.20, 21,897.69 and 9,150.52

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Solution

The fourth proportional to 15,866.20, 21,897.69 and 9,150.52 is: 12,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.20 : 21,897.69 = 9,150.52 : x
  2. Step 2: Convert to fraction form
    15,866.20/21,897.69 = 9,150.52/x
  3. Step 3: Cross multiply
    15,866.20x = 21,897.69 × 9,150.52
  4. Step 4: Simplify right side
    15,866.20x = 200,375,250.30
  5. Step 5: Solve for x
    x = 200,375,250.30/15,866.20
  6. Step 6: Final answer
    x = 12,629.06

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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.