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Finding the Fourth Proportional to 24,843.60, 37,265.40 and 13,784.40

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Solution

The fourth proportional to 24,843.60, 37,265.40 and 13,784.40 is: 20,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.60 : 37,265.40 = 13,784.40 : x
  2. Step 2: Convert to fraction form
    24,843.60/37,265.40 = 13,784.40/x
  3. Step 3: Cross multiply
    24,843.60x = 37,265.40 × 13,784.40
  4. Step 4: Simplify right side
    24,843.60x = 513,681,179.76
  5. Step 5: Solve for x
    x = 513,681,179.76/24,843.60
  6. Step 6: Final answer
    x = 20,676.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.