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Finding the Fourth Proportional to 27,685.86, 38,205.30 and 16,359

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Solution

The fourth proportional to 27,685.86, 38,205.30 and 16,359 is: 22,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.86 : 38,205.30 = 16,359 : x
  2. Step 2: Convert to fraction form
    27,685.86/38,205.30 = 16,359/x
  3. Step 3: Cross multiply
    27,685.86x = 38,205.30 × 16,359
  4. Step 4: Simplify right side
    27,685.86x = 625,000,502.70
  5. Step 5: Solve for x
    x = 625,000,502.70/27,685.86
  6. Step 6: Final answer
    x = 22,574.72

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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.