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Finding the Fourth Proportional to 24,412, 33,597.84 and 20,128.72

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Solution

The fourth proportional to 24,412, 33,597.84 and 20,128.72 is: 27,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412 : 33,597.84 = 20,128.72 : x
  2. Step 2: Convert to fraction form
    24,412/33,597.84 = 20,128.72/x
  3. Step 3: Cross multiply
    24,412x = 33,597.84 × 20,128.72
  4. Step 4: Simplify right side
    24,412x = 676,281,513.96
  5. Step 5: Solve for x
    x = 676,281,513.96/24,412
  6. Step 6: Final answer
    x = 27,702.83

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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.