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Finding the Fourth Proportional to 25,465, 38,212.86 and 10,873

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Solution

The fourth proportional to 25,465, 38,212.86 and 10,873 is: 16,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465 : 38,212.86 = 10,873 : x
  2. Step 2: Convert to fraction form
    25,465/38,212.86 = 10,873/x
  3. Step 3: Cross multiply
    25,465x = 38,212.86 × 10,873
  4. Step 4: Simplify right side
    25,465x = 415,488,426.78
  5. Step 5: Solve for x
    x = 415,488,426.78/25,465
  6. Step 6: Final answer
    x = 16,316.06

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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.