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Finding the Fourth Proportional to 22,500.22, 31,054.10 and 13,074.24

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Solution

The fourth proportional to 22,500.22, 31,054.10 and 13,074.24 is: 18,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,500.22 : 31,054.10 = 13,074.24 : x
  2. Step 2: Convert to fraction form
    22,500.22/31,054.10 = 13,074.24/x
  3. Step 3: Cross multiply
    22,500.22x = 31,054.10 × 13,074.24
  4. Step 4: Simplify right side
    22,500.22x = 406,008,756.38
  5. Step 5: Solve for x
    x = 406,008,756.38/22,500.22
  6. Step 6: Final answer
    x = 18,044.66

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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.