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Finding the Fourth Proportional to 22,600.22, 31,189.81 and 13,041.81

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Solution

The fourth proportional to 22,600.22, 31,189.81 and 13,041.81 is: 17,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,600.22 : 31,189.81 = 13,041.81 : x
  2. Step 2: Convert to fraction form
    22,600.22/31,189.81 = 13,041.81/x
  3. Step 3: Cross multiply
    22,600.22x = 31,189.81 × 13,041.81
  4. Step 4: Simplify right side
    22,600.22x = 406,771,567.80
  5. Step 5: Solve for x
    x = 406,771,567.80/22,600.22
  6. Step 6: Final answer
    x = 17,998.57

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