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Finding the Fourth Proportional to 12,306.90, 16,983.48 and 7,591.16

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Solution

The fourth proportional to 12,306.90, 16,983.48 and 7,591.16 is: 10,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.90 : 16,983.48 = 7,591.16 : x
  2. Step 2: Convert to fraction form
    12,306.90/16,983.48 = 7,591.16/x
  3. Step 3: Cross multiply
    12,306.90x = 16,983.48 × 7,591.16
  4. Step 4: Simplify right side
    12,306.90x = 128,924,314.04
  5. Step 5: Solve for x
    x = 128,924,314.04/12,306.90
  6. Step 6: Final answer
    x = 10,475.77

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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.