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Finding the Fourth Proportional to 12,446.61, 17,176.18 and 7,142.25

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Solution

The fourth proportional to 12,446.61, 17,176.18 and 7,142.25 is: 9,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.61 : 17,176.18 = 7,142.25 : x
  2. Step 2: Convert to fraction form
    12,446.61/17,176.18 = 7,142.25/x
  3. Step 3: Cross multiply
    12,446.61x = 17,176.18 × 7,142.25
  4. Step 4: Simplify right side
    12,446.61x = 122,676,571.61
  5. Step 5: Solve for x
    x = 122,676,571.61/12,446.61
  6. Step 6: Final answer
    x = 9,856.22

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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.