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Finding the Fourth Proportional to 18,134.90, 25,026.38 and 10,965.22

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Solution

The fourth proportional to 18,134.90, 25,026.38 and 10,965.22 is: 15,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.90 : 25,026.38 = 10,965.22 : x
  2. Step 2: Convert to fraction form
    18,134.90/25,026.38 = 10,965.22/x
  3. Step 3: Cross multiply
    18,134.90x = 25,026.38 × 10,965.22
  4. Step 4: Simplify right side
    18,134.90x = 274,419,762.50
  5. Step 5: Solve for x
    x = 274,419,762.50/18,134.90
  6. Step 6: Final answer
    x = 15,132.14

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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.