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Finding the Fourth Proportional to 22,865.38, 34,290.93 and 13,502.89

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Solution

The fourth proportional to 22,865.38, 34,290.93 and 13,502.89 is: 20,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.38 : 34,290.93 = 13,502.89 : x
  2. Step 2: Convert to fraction form
    22,865.38/34,290.93 = 13,502.89/x
  3. Step 3: Cross multiply
    22,865.38x = 34,290.93 × 13,502.89
  4. Step 4: Simplify right side
    22,865.38x = 463,026,655.79
  5. Step 5: Solve for x
    x = 463,026,655.79/22,865.38
  6. Step 6: Final answer
    x = 20,250.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.