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Finding the Fourth Proportional to 25,874.32, 38,803.32 and 8,340.40

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Solution

The fourth proportional to 25,874.32, 38,803.32 and 8,340.40 is: 12,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.32 : 38,803.32 = 8,340.40 : x
  2. Step 2: Convert to fraction form
    25,874.32/38,803.32 = 8,340.40/x
  3. Step 3: Cross multiply
    25,874.32x = 38,803.32 × 8,340.40
  4. Step 4: Simplify right side
    25,874.32x = 323,635,210.13
  5. Step 5: Solve for x
    x = 323,635,210.13/25,874.32
  6. Step 6: Final answer
    x = 12,507.97

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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.