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Finding the Fourth Proportional to 12,650.40, 17,454.30 and 8,407.62

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Solution

The fourth proportional to 12,650.40, 17,454.30 and 8,407.62 is: 11,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.40 : 17,454.30 = 8,407.62 : x
  2. Step 2: Convert to fraction form
    12,650.40/17,454.30 = 8,407.62/x
  3. Step 3: Cross multiply
    12,650.40x = 17,454.30 × 8,407.62
  4. Step 4: Simplify right side
    12,650.40x = 146,749,121.77
  5. Step 5: Solve for x
    x = 146,749,121.77/12,650.40
  6. Step 6: Final answer
    x = 11,600.35

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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.