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Finding the Fourth Proportional to 12,613.61, 17,406.79 and 7,311.50

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Solution

The fourth proportional to 12,613.61, 17,406.79 and 7,311.50 is: 10,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.61 : 17,406.79 = 7,311.50 : x
  2. Step 2: Convert to fraction form
    12,613.61/17,406.79 = 7,311.50/x
  3. Step 3: Cross multiply
    12,613.61x = 17,406.79 × 7,311.50
  4. Step 4: Simplify right side
    12,613.61x = 127,269,752.04
  5. Step 5: Solve for x
    x = 127,269,752.04/12,613.61
  6. Step 6: Final answer
    x = 10,089.88

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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.