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Finding the Fourth Proportional to 12,280.40, 16,948.32 and 8,309.60

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Solution

The fourth proportional to 12,280.40, 16,948.32 and 8,309.60 is: 11,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.40 : 16,948.32 = 8,309.60 : x
  2. Step 2: Convert to fraction form
    12,280.40/16,948.32 = 8,309.60/x
  3. Step 3: Cross multiply
    12,280.40x = 16,948.32 × 8,309.60
  4. Step 4: Simplify right side
    12,280.40x = 140,833,759.87
  5. Step 5: Solve for x
    x = 140,833,759.87/12,280.40
  6. Step 6: Final answer
    x = 11,468.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.