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Finding the Fourth Proportional to 23,626, 35,439 and 9,775.36

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Solution

The fourth proportional to 23,626, 35,439 and 9,775.36 is: 14,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,626 : 35,439 = 9,775.36 : x
  2. Step 2: Convert to fraction form
    23,626/35,439 = 9,775.36/x
  3. Step 3: Cross multiply
    23,626x = 35,439 × 9,775.36
  4. Step 4: Simplify right side
    23,626x = 346,428,983.04
  5. Step 5: Solve for x
    x = 346,428,983.04/23,626
  6. Step 6: Final answer
    x = 14,663.04

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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.