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Finding the Fourth Proportional to 12,613.29, 17,406.35 and 7,311.18

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Solution

The fourth proportional to 12,613.29, 17,406.35 and 7,311.18 is: 10,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.29 : 17,406.35 = 7,311.18 : x
  2. Step 2: Convert to fraction form
    12,613.29/17,406.35 = 7,311.18/x
  3. Step 3: Cross multiply
    12,613.29x = 17,406.35 × 7,311.18
  4. Step 4: Simplify right side
    12,613.29x = 127,261,014.13
  5. Step 5: Solve for x
    x = 127,261,014.13/12,613.29
  6. Step 6: Final answer
    x = 10,089.44

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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.