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Finding the Fourth Proportional to 25,488, 38,232 and 9,072

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Solution

The fourth proportional to 25,488, 38,232 and 9,072 is: 13,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488 : 38,232 = 9,072 : x
  2. Step 2: Convert to fraction form
    25,488/38,232 = 9,072/x
  3. Step 3: Cross multiply
    25,488x = 38,232 × 9,072
  4. Step 4: Simplify right side
    25,488x = 346,840,704
  5. Step 5: Solve for x
    x = 346,840,704/25,488
  6. Step 6: Final answer
    x = 13,608

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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.