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Finding the Fourth Proportional to 27,142.60, 37,461.78 and 17,711.08

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Solution

The fourth proportional to 27,142.60, 37,461.78 and 17,711.08 is: 24,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.60 : 37,461.78 = 17,711.08 : x
  2. Step 2: Convert to fraction form
    27,142.60/37,461.78 = 17,711.08/x
  3. Step 3: Cross multiply
    27,142.60x = 37,461.78 × 17,711.08
  4. Step 4: Simplify right side
    27,142.60x = 663,488,582.52
  5. Step 5: Solve for x
    x = 663,488,582.52/27,142.60
  6. Step 6: Final answer
    x = 24,444.55

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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.