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Finding the Fourth Proportional to 15,138.64, 20,893.04 and 9,170.20

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Solution

The fourth proportional to 15,138.64, 20,893.04 and 9,170.20 is: 12,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.64 : 20,893.04 = 9,170.20 : x
  2. Step 2: Convert to fraction form
    15,138.64/20,893.04 = 9,170.20/x
  3. Step 3: Cross multiply
    15,138.64x = 20,893.04 × 9,170.20
  4. Step 4: Simplify right side
    15,138.64x = 191,593,355.41
  5. Step 5: Solve for x
    x = 191,593,355.41/15,138.64
  6. Step 6: Final answer
    x = 12,655.92

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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.