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Finding the Fourth Proportional to 12,306.13, 16,983.37 and 7,002.65

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Solution

The fourth proportional to 12,306.13, 16,983.37 and 7,002.65 is: 9,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.13 : 16,983.37 = 7,002.65 : x
  2. Step 2: Convert to fraction form
    12,306.13/16,983.37 = 7,002.65/x
  3. Step 3: Cross multiply
    12,306.13x = 16,983.37 × 7,002.65
  4. Step 4: Simplify right side
    12,306.13x = 118,928,595.93
  5. Step 5: Solve for x
    x = 118,928,595.93/12,306.13
  6. Step 6: Final answer
    x = 9,664.18

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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.