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Finding the Fourth Proportional to 13,114.06, 18,104.12 and 8,887.47

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Solution

The fourth proportional to 13,114.06, 18,104.12 and 8,887.47 is: 12,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.06 : 18,104.12 = 8,887.47 : x
  2. Step 2: Convert to fraction form
    13,114.06/18,104.12 = 8,887.47/x
  3. Step 3: Cross multiply
    13,114.06x = 18,104.12 × 8,887.47
  4. Step 4: Simplify right side
    13,114.06x = 160,899,823.38
  5. Step 5: Solve for x
    x = 160,899,823.38/13,114.06
  6. Step 6: Final answer
    x = 12,269.26

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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.