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Finding the Fourth Proportional to 24,549.68, 33,867.78 and 16,589

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Solution

The fourth proportional to 24,549.68, 33,867.78 and 16,589 is: 22,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.68 : 33,867.78 = 16,589 : x
  2. Step 2: Convert to fraction form
    24,549.68/33,867.78 = 16,589/x
  3. Step 3: Cross multiply
    24,549.68x = 33,867.78 × 16,589
  4. Step 4: Simplify right side
    24,549.68x = 561,832,602.42
  5. Step 5: Solve for x
    x = 561,832,602.42/24,549.68
  6. Step 6: Final answer
    x = 22,885.54

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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.