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Finding the Fourth Proportional to 13,686.16, 18,874.29 and 8,641.66

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Solution

The fourth proportional to 13,686.16, 18,874.29 and 8,641.66 is: 11,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.16 : 18,874.29 = 8,641.66 : x
  2. Step 2: Convert to fraction form
    13,686.16/18,874.29 = 8,641.66/x
  3. Step 3: Cross multiply
    13,686.16x = 18,874.29 × 8,641.66
  4. Step 4: Simplify right side
    13,686.16x = 163,105,196.92
  5. Step 5: Solve for x
    x = 163,105,196.92/13,686.16
  6. Step 6: Final answer
    x = 11,917.53

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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.