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Finding the Fourth Proportional to 38,590.40, 57,885.60 and 13,658.60

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Solution

The fourth proportional to 38,590.40, 57,885.60 and 13,658.60 is: 20,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590.40 : 57,885.60 = 13,658.60 : x
  2. Step 2: Convert to fraction form
    38,590.40/57,885.60 = 13,658.60/x
  3. Step 3: Cross multiply
    38,590.40x = 57,885.60 × 13,658.60
  4. Step 4: Simplify right side
    38,590.40x = 790,636,256.16
  5. Step 5: Solve for x
    x = 790,636,256.16/38,590.40
  6. Step 6: Final answer
    x = 20,487.90

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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.