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Finding the Fourth Proportional to 16,085.60, 24,129.12 and 8,309.60

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Solution

The fourth proportional to 16,085.60, 24,129.12 and 8,309.60 is: 12,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.60 : 24,129.12 = 8,309.60 : x
  2. Step 2: Convert to fraction form
    16,085.60/24,129.12 = 8,309.60/x
  3. Step 3: Cross multiply
    16,085.60x = 24,129.12 × 8,309.60
  4. Step 4: Simplify right side
    16,085.60x = 200,503,335.55
  5. Step 5: Solve for x
    x = 200,503,335.55/16,085.60
  6. Step 6: Final answer
    x = 12,464.77

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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.