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Finding the Fourth Proportional to 38,370.96, 57,564.25 and 16,184.42

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Solution

The fourth proportional to 38,370.96, 57,564.25 and 16,184.42 is: 24,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,370.96 : 57,564.25 = 16,184.42 : x
  2. Step 2: Convert to fraction form
    38,370.96/57,564.25 = 16,184.42/x
  3. Step 3: Cross multiply
    38,370.96x = 57,564.25 × 16,184.42
  4. Step 4: Simplify right side
    38,370.96x = 931,643,670.70
  5. Step 5: Solve for x
    x = 931,643,670.70/38,370.96
  6. Step 6: Final answer
    x = 24,279.92

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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.