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Finding the Fourth Proportional to 22,998.33, 34,507.20 and 9,856.89

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Solution

The fourth proportional to 22,998.33, 34,507.20 and 9,856.89 is: 14,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,998.33 : 34,507.20 = 9,856.89 : x
  2. Step 2: Convert to fraction form
    22,998.33/34,507.20 = 9,856.89/x
  3. Step 3: Cross multiply
    22,998.33x = 34,507.20 × 9,856.89
  4. Step 4: Simplify right side
    22,998.33x = 340,133,674.61
  5. Step 5: Solve for x
    x = 340,133,674.61/22,998.33
  6. Step 6: Final answer
    x = 14,789.49

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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.