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Finding the Fourth Proportional to 25,175.52, 37,768.80 and 12,009.78

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Solution

The fourth proportional to 25,175.52, 37,768.80 and 12,009.78 is: 18,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.52 : 37,768.80 = 12,009.78 : x
  2. Step 2: Convert to fraction form
    25,175.52/37,768.80 = 12,009.78/x
  3. Step 3: Cross multiply
    25,175.52x = 37,768.80 × 12,009.78
  4. Step 4: Simplify right side
    25,175.52x = 453,594,978.86
  5. Step 5: Solve for x
    x = 453,594,978.86/25,175.52
  6. Step 6: Final answer
    x = 18,017.30

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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.