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Finding the Fourth Proportional to 22,651.65, 31,259.49 and 13,218.39

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Solution

The fourth proportional to 22,651.65, 31,259.49 and 13,218.39 is: 18,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.65 : 31,259.49 = 13,218.39 : x
  2. Step 2: Convert to fraction form
    22,651.65/31,259.49 = 13,218.39/x
  3. Step 3: Cross multiply
    22,651.65x = 31,259.49 × 13,218.39
  4. Step 4: Simplify right side
    22,651.65x = 413,200,130.02
  5. Step 5: Solve for x
    x = 413,200,130.02/22,651.65
  6. Step 6: Final answer
    x = 18,241.50

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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.