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Finding the Fourth Proportional to 24,205.60, 33,411.90 and 15,268

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Solution

The fourth proportional to 24,205.60, 33,411.90 and 15,268 is: 21,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.60 : 33,411.90 = 15,268 : x
  2. Step 2: Convert to fraction form
    24,205.60/33,411.90 = 15,268/x
  3. Step 3: Cross multiply
    24,205.60x = 33,411.90 × 15,268
  4. Step 4: Simplify right side
    24,205.60x = 510,132,889.20
  5. Step 5: Solve for x
    x = 510,132,889.20/24,205.60
  6. Step 6: Final answer
    x = 21,074.99

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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.