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Finding the Fourth Proportional to 13,456.74, 20,184.93 and 4,691.61

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Solution

The fourth proportional to 13,456.74, 20,184.93 and 4,691.61 is: 7,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.74 : 20,184.93 = 4,691.61 : x
  2. Step 2: Convert to fraction form
    13,456.74/20,184.93 = 4,691.61/x
  3. Step 3: Cross multiply
    13,456.74x = 20,184.93 × 4,691.61
  4. Step 4: Simplify right side
    13,456.74x = 94,699,819.44
  5. Step 5: Solve for x
    x = 94,699,819.44/13,456.74
  6. Step 6: Final answer
    x = 7,037.35

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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.