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Finding the Fourth Proportional to 11,772.90, 17,688.15 and 8,856.90

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Solution

The fourth proportional to 11,772.90, 17,688.15 and 8,856.90 is: 13,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.90 : 17,688.15 = 8,856.90 : x
  2. Step 2: Convert to fraction form
    11,772.90/17,688.15 = 8,856.90/x
  3. Step 3: Cross multiply
    11,772.90x = 17,688.15 × 8,856.90
  4. Step 4: Simplify right side
    11,772.90x = 156,662,175.74
  5. Step 5: Solve for x
    x = 156,662,175.74/11,772.90
  6. Step 6: Final answer
    x = 13,307.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.