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Finding the Fourth Proportional to 15,196.64, 22,781.40 and 8,180.44

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Solution

The fourth proportional to 15,196.64, 22,781.40 and 8,180.44 is: 12,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.64 : 22,781.40 = 8,180.44 : x
  2. Step 2: Convert to fraction form
    15,196.64/22,781.40 = 8,180.44/x
  3. Step 3: Cross multiply
    15,196.64x = 22,781.40 × 8,180.44
  4. Step 4: Simplify right side
    15,196.64x = 186,361,875.82
  5. Step 5: Solve for x
    x = 186,361,875.82/15,196.64
  6. Step 6: Final answer
    x = 12,263.36

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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.