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Finding the Fourth Proportional to 15,178.08, 22,767.12 and 8,161.40

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Solution

The fourth proportional to 15,178.08, 22,767.12 and 8,161.40 is: 12,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.08 : 22,767.12 = 8,161.40 : x
  2. Step 2: Convert to fraction form
    15,178.08/22,767.12 = 8,161.40/x
  3. Step 3: Cross multiply
    15,178.08x = 22,767.12 × 8,161.40
  4. Step 4: Simplify right side
    15,178.08x = 185,811,573.17
  5. Step 5: Solve for x
    x = 185,811,573.17/15,178.08
  6. Step 6: Final answer
    x = 12,242.10

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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.