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Finding the Fourth Proportional to 11,686.61, 16,045.96 and 11,382.14

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Solution

The fourth proportional to 11,686.61, 16,045.96 and 11,382.14 is: 15,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.61 : 16,045.96 = 11,382.14 : x
  2. Step 2: Convert to fraction form
    11,686.61/16,045.96 = 11,382.14/x
  3. Step 3: Cross multiply
    11,686.61x = 16,045.96 × 11,382.14
  4. Step 4: Simplify right side
    11,686.61x = 182,637,363.15
  5. Step 5: Solve for x
    x = 182,637,363.15/11,686.61
  6. Step 6: Final answer
    x = 15,627.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.