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Finding the Fourth Proportional to 22,482.28, 31,020.73 and 13,045.78

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Solution

The fourth proportional to 22,482.28, 31,020.73 and 13,045.78 is: 18,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.28 : 31,020.73 = 13,045.78 : x
  2. Step 2: Convert to fraction form
    22,482.28/31,020.73 = 13,045.78/x
  3. Step 3: Cross multiply
    22,482.28x = 31,020.73 × 13,045.78
  4. Step 4: Simplify right side
    22,482.28x = 404,689,619.02
  5. Step 5: Solve for x
    x = 404,689,619.02/22,482.28
  6. Step 6: Final answer
    x = 18,000.38

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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.