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Finding the Fourth Proportional to 12,617.32, 17,409.22 and 7,311.80

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Solution

The fourth proportional to 12,617.32, 17,409.22 and 7,311.80 is: 10,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.32 : 17,409.22 = 7,311.80 : x
  2. Step 2: Convert to fraction form
    12,617.32/17,409.22 = 7,311.80/x
  3. Step 3: Cross multiply
    12,617.32x = 17,409.22 × 7,311.80
  4. Step 4: Simplify right side
    12,617.32x = 127,292,734.80
  5. Step 5: Solve for x
    x = 127,292,734.80/12,617.32
  6. Step 6: Final answer
    x = 10,088.73

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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.