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Finding the Fourth Proportional to 25,653.10, 38,474.78 and 9,009.22

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Solution

The fourth proportional to 25,653.10, 38,474.78 and 9,009.22 is: 13,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653.10 : 38,474.78 = 9,009.22 : x
  2. Step 2: Convert to fraction form
    25,653.10/38,474.78 = 9,009.22/x
  3. Step 3: Cross multiply
    25,653.10x = 38,474.78 × 9,009.22
  4. Step 4: Simplify right side
    25,653.10x = 346,627,757.47
  5. Step 5: Solve for x
    x = 346,627,757.47/25,653.10
  6. Step 6: Final answer
    x = 13,512.12

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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.