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Finding the Fourth Proportional to 12,446.76, 17,176.89 and 7,142.52

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Solution

The fourth proportional to 12,446.76, 17,176.89 and 7,142.52 is: 9,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.76 : 17,176.89 = 7,142.52 : x
  2. Step 2: Convert to fraction form
    12,446.76/17,176.89 = 7,142.52/x
  3. Step 3: Cross multiply
    12,446.76x = 17,176.89 × 7,142.52
  4. Step 4: Simplify right side
    12,446.76x = 122,686,280.36
  5. Step 5: Solve for x
    x = 122,686,280.36/12,446.76
  6. Step 6: Final answer
    x = 9,856.88

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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.