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Finding the Fourth Proportional to 27,753.84, 38,301.26 and 15,178.59

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Solution

The fourth proportional to 27,753.84, 38,301.26 and 15,178.59 is: 20,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,753.84 : 38,301.26 = 15,178.59 : x
  2. Step 2: Convert to fraction form
    27,753.84/38,301.26 = 15,178.59/x
  3. Step 3: Cross multiply
    27,753.84x = 38,301.26 × 15,178.59
  4. Step 4: Simplify right side
    27,753.84x = 581,359,046.13
  5. Step 5: Solve for x
    x = 581,359,046.13/27,753.84
  6. Step 6: Final answer
    x = 20,946.98

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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.