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Finding the Fourth Proportional to 12,309.32, 16,982 and 7,585.40

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Solution

The fourth proportional to 12,309.32, 16,982 and 7,585.40 is: 10,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.32 : 16,982 = 7,585.40 : x
  2. Step 2: Convert to fraction form
    12,309.32/16,982 = 7,585.40/x
  3. Step 3: Cross multiply
    12,309.32x = 16,982 × 7,585.40
  4. Step 4: Simplify right side
    12,309.32x = 128,815,262.80
  5. Step 5: Solve for x
    x = 128,815,262.80/12,309.32
  6. Step 6: Final answer
    x = 10,464.86

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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.