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Finding the Fourth Proportional to 21,177.20, 31,756.20 and 8,025.20

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Solution

The fourth proportional to 21,177.20, 31,756.20 and 8,025.20 is: 12,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.20 : 31,756.20 = 8,025.20 : x
  2. Step 2: Convert to fraction form
    21,177.20/31,756.20 = 8,025.20/x
  3. Step 3: Cross multiply
    21,177.20x = 31,756.20 × 8,025.20
  4. Step 4: Simplify right side
    21,177.20x = 254,849,856.24
  5. Step 5: Solve for x
    x = 254,849,856.24/21,177.20
  6. Step 6: Final answer
    x = 12,034.16

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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.