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Finding the Fourth Proportional to 27,686.86, 38,206.68 and 16,360

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Solution

The fourth proportional to 27,686.86, 38,206.68 and 16,360 is: 22,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.86 : 38,206.68 = 16,360 : x
  2. Step 2: Convert to fraction form
    27,686.86/38,206.68 = 16,360/x
  3. Step 3: Cross multiply
    27,686.86x = 38,206.68 × 16,360
  4. Step 4: Simplify right side
    27,686.86x = 625,061,284.80
  5. Step 5: Solve for x
    x = 625,061,284.80/27,686.86
  6. Step 6: Final answer
    x = 22,576.10

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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.