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Finding the Fourth Proportional to 25,219.64, 37,818.50 and 8,575.20

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Solution

The fourth proportional to 25,219.64, 37,818.50 and 8,575.20 is: 12,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219.64 : 37,818.50 = 8,575.20 : x
  2. Step 2: Convert to fraction form
    25,219.64/37,818.50 = 8,575.20/x
  3. Step 3: Cross multiply
    25,219.64x = 37,818.50 × 8,575.20
  4. Step 4: Simplify right side
    25,219.64x = 324,301,201.20
  5. Step 5: Solve for x
    x = 324,301,201.20/25,219.64
  6. Step 6: Final answer
    x = 12,859.07

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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.