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Finding the Fourth Proportional to 21,711.12, 32,569.02 and 6,914.85

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Solution

The fourth proportional to 21,711.12, 32,569.02 and 6,914.85 is: 10,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.12 : 32,569.02 = 6,914.85 : x
  2. Step 2: Convert to fraction form
    21,711.12/32,569.02 = 6,914.85/x
  3. Step 3: Cross multiply
    21,711.12x = 32,569.02 × 6,914.85
  4. Step 4: Simplify right side
    21,711.12x = 225,209,887.95
  5. Step 5: Solve for x
    x = 225,209,887.95/21,711.12
  6. Step 6: Final answer
    x = 10,373.02

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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.