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Finding the Fourth Proportional to 13,111.38, 18,094.14 and 7,142.76

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Solution

The fourth proportional to 13,111.38, 18,094.14 and 7,142.76 is: 9,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.38 : 18,094.14 = 7,142.76 : x
  2. Step 2: Convert to fraction form
    13,111.38/18,094.14 = 7,142.76/x
  3. Step 3: Cross multiply
    13,111.38x = 18,094.14 × 7,142.76
  4. Step 4: Simplify right side
    13,111.38x = 129,242,099.43
  5. Step 5: Solve for x
    x = 129,242,099.43/13,111.38
  6. Step 6: Final answer
    x = 9,857.25

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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.