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Finding the Fourth Proportional to 23,889.75, 32,967.90 and 13,281.90

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Solution

The fourth proportional to 23,889.75, 32,967.90 and 13,281.90 is: 18,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,889.75 : 32,967.90 = 13,281.90 : x
  2. Step 2: Convert to fraction form
    23,889.75/32,967.90 = 13,281.90/x
  3. Step 3: Cross multiply
    23,889.75x = 32,967.90 × 13,281.90
  4. Step 4: Simplify right side
    23,889.75x = 437,876,351.01
  5. Step 5: Solve for x
    x = 437,876,351.01/23,889.75
  6. Step 6: Final answer
    x = 18,329.05

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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.