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Finding the Fourth Proportional to 12,597.32, 17,380.77 and 7,291.82

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Solution

The fourth proportional to 12,597.32, 17,380.77 and 7,291.82 is: 10,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.32 : 17,380.77 = 7,291.82 : x
  2. Step 2: Convert to fraction form
    12,597.32/17,380.77 = 7,291.82/x
  3. Step 3: Cross multiply
    12,597.32x = 17,380.77 × 7,291.82
  4. Step 4: Simplify right side
    12,597.32x = 126,737,446.30
  5. Step 5: Solve for x
    x = 126,737,446.30/12,597.32
  6. Step 6: Final answer
    x = 10,060.67

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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.