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Finding the Fourth Proportional to 10,059.39, 15,021.33 and 8,214.11

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Solution

The fourth proportional to 10,059.39, 15,021.33 and 8,214.11 is: 12,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.39 : 15,021.33 = 8,214.11 : x
  2. Step 2: Convert to fraction form
    10,059.39/15,021.33 = 8,214.11/x
  3. Step 3: Cross multiply
    10,059.39x = 15,021.33 × 8,214.11
  4. Step 4: Simplify right side
    10,059.39x = 123,386,856.97
  5. Step 5: Solve for x
    x = 123,386,856.97/10,059.39
  6. Step 6: Final answer
    x = 12,265.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.