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Finding the Fourth Proportional to 15,140.46, 20,894.18 and 8,426.78

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Solution

The fourth proportional to 15,140.46, 20,894.18 and 8,426.78 is: 11,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.46 : 20,894.18 = 8,426.78 : x
  2. Step 2: Convert to fraction form
    15,140.46/20,894.18 = 8,426.78/x
  3. Step 3: Cross multiply
    15,140.46x = 20,894.18 × 8,426.78
  4. Step 4: Simplify right side
    15,140.46x = 176,070,511.54
  5. Step 5: Solve for x
    x = 176,070,511.54/15,140.46
  6. Step 6: Final answer
    x = 11,629.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.