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Finding the Fourth Proportional to 24,589.68, 33,934.08 and 13,411.68

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Solution

The fourth proportional to 24,589.68, 33,934.08 and 13,411.68 is: 18,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.68 : 33,934.08 = 13,411.68 : x
  2. Step 2: Convert to fraction form
    24,589.68/33,934.08 = 13,411.68/x
  3. Step 3: Cross multiply
    24,589.68x = 33,934.08 × 13,411.68
  4. Step 4: Simplify right side
    24,589.68x = 455,113,022.05
  5. Step 5: Solve for x
    x = 455,113,022.05/24,589.68
  6. Step 6: Final answer
    x = 18,508.29

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1.5x scale

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.