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Finding the Fourth Proportional to 27,646.80, 41,470.20 and 16,587.60

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Solution

The fourth proportional to 27,646.80, 41,470.20 and 16,587.60 is: 24,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.80 : 41,470.20 = 16,587.60 : x
  2. Step 2: Convert to fraction form
    27,646.80/41,470.20 = 16,587.60/x
  3. Step 3: Cross multiply
    27,646.80x = 41,470.20 × 16,587.60
  4. Step 4: Simplify right side
    27,646.80x = 687,891,089.52
  5. Step 5: Solve for x
    x = 687,891,089.52/27,646.80
  6. Step 6: Final answer
    x = 24,881.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.