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Finding the Fourth Proportional to 21,107.75, 31,666.95 and 6,316.61

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Solution

The fourth proportional to 21,107.75, 31,666.95 and 6,316.61 is: 9,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.75 : 31,666.95 = 6,316.61 : x
  2. Step 2: Convert to fraction form
    21,107.75/31,666.95 = 6,316.61/x
  3. Step 3: Cross multiply
    21,107.75x = 31,666.95 × 6,316.61
  4. Step 4: Simplify right side
    21,107.75x = 200,027,614.70
  5. Step 5: Solve for x
    x = 200,027,614.70/21,107.75
  6. Step 6: Final answer
    x = 9,476.50

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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.