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Finding the Fourth Proportional to 12,574.26, 17,353.20 and 6,985.26

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Solution

The fourth proportional to 12,574.26, 17,353.20 and 6,985.26 is: 9,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.26 : 17,353.20 = 6,985.26 : x
  2. Step 2: Convert to fraction form
    12,574.26/17,353.20 = 6,985.26/x
  3. Step 3: Cross multiply
    12,574.26x = 17,353.20 × 6,985.26
  4. Step 4: Simplify right side
    12,574.26x = 121,216,613.83
  5. Step 5: Solve for x
    x = 121,216,613.83/12,574.26
  6. Step 6: Final answer
    x = 9,640.06

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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.