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Finding the Fourth Proportional to 22,999, 34,506.83 and 11,320.42

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Solution

The fourth proportional to 22,999, 34,506.83 and 11,320.42 is: 16,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999 : 34,506.83 = 11,320.42 : x
  2. Step 2: Convert to fraction form
    22,999/34,506.83 = 11,320.42/x
  3. Step 3: Cross multiply
    22,999x = 34,506.83 × 11,320.42
  4. Step 4: Simplify right side
    22,999x = 390,631,808.47
  5. Step 5: Solve for x
    x = 390,631,808.47/22,999
  6. Step 6: Final answer
    x = 16,984.73

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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.