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Finding the Fourth Proportional to 27,184.68, 40,777 and 17,948.52

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Solution

The fourth proportional to 27,184.68, 40,777 and 17,948.52 is: 26,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.68 : 40,777 = 17,948.52 : x
  2. Step 2: Convert to fraction form
    27,184.68/40,777 = 17,948.52/x
  3. Step 3: Cross multiply
    27,184.68x = 40,777 × 17,948.52
  4. Step 4: Simplify right side
    27,184.68x = 731,886,800.04
  5. Step 5: Solve for x
    x = 731,886,800.04/27,184.68
  6. Step 6: Final answer
    x = 26,922.77

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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.