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Finding the Fourth Proportional to 23,308.38, 34,943.04 and 9,259.56

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Solution

The fourth proportional to 23,308.38, 34,943.04 and 9,259.56 is: 13,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.38 : 34,943.04 = 9,259.56 : x
  2. Step 2: Convert to fraction form
    23,308.38/34,943.04 = 9,259.56/x
  3. Step 3: Cross multiply
    23,308.38x = 34,943.04 × 9,259.56
  4. Step 4: Simplify right side
    23,308.38x = 323,557,175.46
  5. Step 5: Solve for x
    x = 323,557,175.46/23,308.38
  6. Step 6: Final answer
    x = 13,881.58

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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.