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Finding the Fourth Proportional to 27,580.68, 38,049.18 and 16,966.44

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Solution

The fourth proportional to 27,580.68, 38,049.18 and 16,966.44 is: 23,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.68 : 38,049.18 = 16,966.44 : x
  2. Step 2: Convert to fraction form
    27,580.68/38,049.18 = 16,966.44/x
  3. Step 3: Cross multiply
    27,580.68x = 38,049.18 × 16,966.44
  4. Step 4: Simplify right side
    27,580.68x = 645,559,129.52
  5. Step 5: Solve for x
    x = 645,559,129.52/27,580.68
  6. Step 6: Final answer
    x = 23,406.21

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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.