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Finding the Fourth Proportional to 22,801.28, 34,176 and 9,645.44

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Solution

The fourth proportional to 22,801.28, 34,176 and 9,645.44 is: 14,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.28 : 34,176 = 9,645.44 : x
  2. Step 2: Convert to fraction form
    22,801.28/34,176 = 9,645.44/x
  3. Step 3: Cross multiply
    22,801.28x = 34,176 × 9,645.44
  4. Step 4: Simplify right side
    22,801.28x = 329,642,557.44
  5. Step 5: Solve for x
    x = 329,642,557.44/22,801.28
  6. Step 6: Final answer
    x = 14,457.20

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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.