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Finding the Fourth Proportional to 10,121.95, 15,164.70 and 9,512.02

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Solution

The fourth proportional to 10,121.95, 15,164.70 and 9,512.02 is: 14,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.95 : 15,164.70 = 9,512.02 : x
  2. Step 2: Convert to fraction form
    10,121.95/15,164.70 = 9,512.02/x
  3. Step 3: Cross multiply
    10,121.95x = 15,164.70 × 9,512.02
  4. Step 4: Simplify right side
    10,121.95x = 144,246,929.69
  5. Step 5: Solve for x
    x = 144,246,929.69/10,121.95
  6. Step 6: Final answer
    x = 14,250.90

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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.