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Finding the Fourth Proportional to 21,047.68, 31,549.56 and 8,562.70

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Solution

The fourth proportional to 21,047.68, 31,549.56 and 8,562.70 is: 12,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.68 : 31,549.56 = 8,562.70 : x
  2. Step 2: Convert to fraction form
    21,047.68/31,549.56 = 8,562.70/x
  3. Step 3: Cross multiply
    21,047.68x = 31,549.56 × 8,562.70
  4. Step 4: Simplify right side
    21,047.68x = 270,149,417.41
  5. Step 5: Solve for x
    x = 270,149,417.41/21,047.68
  6. Step 6: Final answer
    x = 12,835.12

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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.