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Finding the Fourth Proportional to 24,592.84, 33,938.04 and 13,414.84

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Solution

The fourth proportional to 24,592.84, 33,938.04 and 13,414.84 is: 18,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.84 : 33,938.04 = 13,414.84 : x
  2. Step 2: Convert to fraction form
    24,592.84/33,938.04 = 13,414.84/x
  3. Step 3: Cross multiply
    24,592.84x = 33,938.04 × 13,414.84
  4. Step 4: Simplify right side
    24,592.84x = 455,273,376.51
  5. Step 5: Solve for x
    x = 455,273,376.51/24,592.84
  6. Step 6: Final answer
    x = 18,512.44

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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.