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Finding the Fourth Proportional to 24,871.50, 34,322.67 and 13,693.50

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Solution

The fourth proportional to 24,871.50, 34,322.67 and 13,693.50 is: 18,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.50 : 34,322.67 = 13,693.50 : x
  2. Step 2: Convert to fraction form
    24,871.50/34,322.67 = 13,693.50/x
  3. Step 3: Cross multiply
    24,871.50x = 34,322.67 × 13,693.50
  4. Step 4: Simplify right side
    24,871.50x = 469,997,481.65
  5. Step 5: Solve for x
    x = 469,997,481.65/24,871.50
  6. Step 6: Final answer
    x = 18,897.03

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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.