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Finding the Fourth Proportional to 27,037.60, 40,549.20 and 8,317.60

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Solution

The fourth proportional to 27,037.60, 40,549.20 and 8,317.60 is: 12,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,037.60 : 40,549.20 = 8,317.60 : x
  2. Step 2: Convert to fraction form
    27,037.60/40,549.20 = 8,317.60/x
  3. Step 3: Cross multiply
    27,037.60x = 40,549.20 × 8,317.60
  4. Step 4: Simplify right side
    27,037.60x = 337,272,025.92
  5. Step 5: Solve for x
    x = 337,272,025.92/27,037.60
  6. Step 6: Final answer
    x = 12,474.19

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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.