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Finding the Fourth Proportional to 25,873.28, 38,823.13 and 11,078.22

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Solution

The fourth proportional to 25,873.28, 38,823.13 and 11,078.22 is: 16,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,873.28 : 38,823.13 = 11,078.22 : x
  2. Step 2: Convert to fraction form
    25,873.28/38,823.13 = 11,078.22/x
  3. Step 3: Cross multiply
    25,873.28x = 38,823.13 × 11,078.22
  4. Step 4: Simplify right side
    25,873.28x = 430,091,334.66
  5. Step 5: Solve for x
    x = 430,091,334.66/25,873.28
  6. Step 6: Final answer
    x = 16,622.99

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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.