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Finding the Fourth Proportional to 22,999.33, 34,508.70 and 9,857.89

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Solution

The fourth proportional to 22,999.33, 34,508.70 and 9,857.89 is: 14,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999.33 : 34,508.70 = 9,857.89 : x
  2. Step 2: Convert to fraction form
    22,999.33/34,508.70 = 9,857.89/x
  3. Step 3: Cross multiply
    22,999.33x = 34,508.70 × 9,857.89
  4. Step 4: Simplify right side
    22,999.33x = 340,182,968.64
  5. Step 5: Solve for x
    x = 340,182,968.64/22,999.33
  6. Step 6: Final answer
    x = 14,790.99

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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.