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Finding the Fourth Proportional to 25,714.16, 38,571.24 and 8,184

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Solution

The fourth proportional to 25,714.16, 38,571.24 and 8,184 is: 12,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.16 : 38,571.24 = 8,184 : x
  2. Step 2: Convert to fraction form
    25,714.16/38,571.24 = 8,184/x
  3. Step 3: Cross multiply
    25,714.16x = 38,571.24 × 8,184
  4. Step 4: Simplify right side
    25,714.16x = 315,667,028.16
  5. Step 5: Solve for x
    x = 315,667,028.16/25,714.16
  6. Step 6: Final answer
    x = 12,276.00

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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.