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Finding the Fourth Proportional to 12,659.32, 17,446.66 and 8,402.86

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Solution

The fourth proportional to 12,659.32, 17,446.66 and 8,402.86 is: 11,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.32 : 17,446.66 = 8,402.86 : x
  2. Step 2: Convert to fraction form
    12,659.32/17,446.66 = 8,402.86/x
  3. Step 3: Cross multiply
    12,659.32x = 17,446.66 × 8,402.86
  4. Step 4: Simplify right side
    12,659.32x = 146,601,841.45
  5. Step 5: Solve for x
    x = 146,601,841.45/12,659.32
  6. Step 6: Final answer
    x = 11,580.55

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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.