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Finding the Fourth Proportional to 10,182.52, 15,250.07 and 9,902.23

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Solution

The fourth proportional to 10,182.52, 15,250.07 and 9,902.23 is: 14,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.52 : 15,250.07 = 9,902.23 : x
  2. Step 2: Convert to fraction form
    10,182.52/15,250.07 = 9,902.23/x
  3. Step 3: Cross multiply
    10,182.52x = 15,250.07 × 9,902.23
  4. Step 4: Simplify right side
    10,182.52x = 151,009,700.66
  5. Step 5: Solve for x
    x = 151,009,700.66/10,182.52
  6. Step 6: Final answer
    x = 14,830.29

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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.