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Finding the Fourth Proportional to 24,306.50, 33,542.98 and 13,128.50

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Solution

The fourth proportional to 24,306.50, 33,542.98 and 13,128.50 is: 18,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.50 : 33,542.98 = 13,128.50 : x
  2. Step 2: Convert to fraction form
    24,306.50/33,542.98 = 13,128.50/x
  3. Step 3: Cross multiply
    24,306.50x = 33,542.98 × 13,128.50
  4. Step 4: Simplify right side
    24,306.50x = 440,369,012.93
  5. Step 5: Solve for x
    x = 440,369,012.93/24,306.50
  6. Step 6: Final answer
    x = 18,117.34

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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.