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Finding the Fourth Proportional to 24,268.80, 33,489.52 and 13,658

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Solution

The fourth proportional to 24,268.80, 33,489.52 and 13,658 is: 18,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,268.80 : 33,489.52 = 13,658 : x
  2. Step 2: Convert to fraction form
    24,268.80/33,489.52 = 13,658/x
  3. Step 3: Cross multiply
    24,268.80x = 33,489.52 × 13,658
  4. Step 4: Simplify right side
    24,268.80x = 457,399,864.16
  5. Step 5: Solve for x
    x = 457,399,864.16/24,268.80
  6. Step 6: Final answer
    x = 18,847.24

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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.