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Finding the Fourth Proportional to 22,519.05, 31,078.20 and 13,087

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Solution

The fourth proportional to 22,519.05, 31,078.20 and 13,087 is: 18,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.05 : 31,078.20 = 13,087 : x
  2. Step 2: Convert to fraction form
    22,519.05/31,078.20 = 13,087/x
  3. Step 3: Cross multiply
    22,519.05x = 31,078.20 × 13,087
  4. Step 4: Simplify right side
    22,519.05x = 406,720,403.40
  5. Step 5: Solve for x
    x = 406,720,403.40/22,519.05
  6. Step 6: Final answer
    x = 18,061.17

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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.