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Finding the Fourth Proportional to 25,422, 38,133 and 9,006

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Solution

The fourth proportional to 25,422, 38,133 and 9,006 is: 13,509

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422 : 38,133 = 9,006 : x
  2. Step 2: Convert to fraction form
    25,422/38,133 = 9,006/x
  3. Step 3: Cross multiply
    25,422x = 38,133 × 9,006
  4. Step 4: Simplify right side
    25,422x = 343,425,798
  5. Step 5: Solve for x
    x = 343,425,798/25,422
  6. Step 6: Final answer
    x = 13,509

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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.