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Finding the Fourth Proportional to 12,613.64, 17,406.82 and 7,311.53

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Solution

The fourth proportional to 12,613.64, 17,406.82 and 7,311.53 is: 10,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.64 : 17,406.82 = 7,311.53 : x
  2. Step 2: Convert to fraction form
    12,613.64/17,406.82 = 7,311.53/x
  3. Step 3: Cross multiply
    12,613.64x = 17,406.82 × 7,311.53
  4. Step 4: Simplify right side
    12,613.64x = 127,270,559.85
  5. Step 5: Solve for x
    x = 127,270,559.85/12,613.64
  6. Step 6: Final answer
    x = 10,089.91

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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.