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Finding the Fourth Proportional to 23,779.80, 32,825.38 and 13,716.87

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Solution

The fourth proportional to 23,779.80, 32,825.38 and 13,716.87 is: 18,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.80 : 32,825.38 = 13,716.87 : x
  2. Step 2: Convert to fraction form
    23,779.80/32,825.38 = 13,716.87/x
  3. Step 3: Cross multiply
    23,779.80x = 32,825.38 × 13,716.87
  4. Step 4: Simplify right side
    23,779.80x = 450,261,470.16
  5. Step 5: Solve for x
    x = 450,261,470.16/23,779.80
  6. Step 6: Final answer
    x = 18,934.62

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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.