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Finding the Fourth Proportional to 10,174.60, 15,233.10 and 9,137.80

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Solution

The fourth proportional to 10,174.60, 15,233.10 and 9,137.80 is: 13,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.60 : 15,233.10 = 9,137.80 : x
  2. Step 2: Convert to fraction form
    10,174.60/15,233.10 = 9,137.80/x
  3. Step 3: Cross multiply
    10,174.60x = 15,233.10 × 9,137.80
  4. Step 4: Simplify right side
    10,174.60x = 139,197,021.18
  5. Step 5: Solve for x
    x = 139,197,021.18/10,174.60
  6. Step 6: Final answer
    x = 13,680.83

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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.