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Finding the Fourth Proportional to 25,161.60, 34,722.80 and 13,676.40

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Solution

The fourth proportional to 25,161.60, 34,722.80 and 13,676.40 is: 18,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,161.60 : 34,722.80 = 13,676.40 : x
  2. Step 2: Convert to fraction form
    25,161.60/34,722.80 = 13,676.40/x
  3. Step 3: Cross multiply
    25,161.60x = 34,722.80 × 13,676.40
  4. Step 4: Simplify right side
    25,161.60x = 474,882,901.92
  5. Step 5: Solve for x
    x = 474,882,901.92/25,161.60
  6. Step 6: Final answer
    x = 18,873.32

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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.