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Finding the Fourth Proportional to 12,613.17, 17,406.17 and 7,311.06

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Solution

The fourth proportional to 12,613.17, 17,406.17 and 7,311.06 is: 10,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.17 : 17,406.17 = 7,311.06 : x
  2. Step 2: Convert to fraction form
    12,613.17/17,406.17 = 7,311.06/x
  3. Step 3: Cross multiply
    12,613.17x = 17,406.17 × 7,311.06
  4. Step 4: Simplify right side
    12,613.17x = 127,257,484.49
  5. Step 5: Solve for x
    x = 127,257,484.49/12,613.17
  6. Step 6: Final answer
    x = 10,089.26

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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.