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Finding the Fourth Proportional to 13,148.38, 18,138.02 and 8,899.59

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Solution

The fourth proportional to 13,148.38, 18,138.02 and 8,899.59 is: 12,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.38 : 18,138.02 = 8,899.59 : x
  2. Step 2: Convert to fraction form
    13,148.38/18,138.02 = 8,899.59/x
  3. Step 3: Cross multiply
    13,148.38x = 18,138.02 × 8,899.59
  4. Step 4: Simplify right side
    13,148.38x = 161,420,941.41
  5. Step 5: Solve for x
    x = 161,420,941.41/13,148.38
  6. Step 6: Final answer
    x = 12,276.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.