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Finding the Fourth Proportional to 12,627.29, 17,412.75 and 8,376.86

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Solution

The fourth proportional to 12,627.29, 17,412.75 and 8,376.86 is: 11,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.29 : 17,412.75 = 8,376.86 : x
  2. Step 2: Convert to fraction form
    12,627.29/17,412.75 = 8,376.86/x
  3. Step 3: Cross multiply
    12,627.29x = 17,412.75 × 8,376.86
  4. Step 4: Simplify right side
    12,627.29x = 145,864,081.90
  5. Step 5: Solve for x
    x = 145,864,081.90/12,627.29
  6. Step 6: Final answer
    x = 11,551.50

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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.