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Finding the Fourth Proportional to 12,585.14, 17,367.70 and 6,920.13

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Solution

The fourth proportional to 12,585.14, 17,367.70 and 6,920.13 is: 9,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.14 : 17,367.70 = 6,920.13 : x
  2. Step 2: Convert to fraction form
    12,585.14/17,367.70 = 6,920.13/x
  3. Step 3: Cross multiply
    12,585.14x = 17,367.70 × 6,920.13
  4. Step 4: Simplify right side
    12,585.14x = 120,186,741.80
  5. Step 5: Solve for x
    x = 120,186,741.80/12,585.14
  6. Step 6: Final answer
    x = 9,549.89

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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.