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Finding the Fourth Proportional to 22,883, 34,324.71 and 9,032

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Solution

The fourth proportional to 22,883, 34,324.71 and 9,032 is: 13,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883 : 34,324.71 = 9,032 : x
  2. Step 2: Convert to fraction form
    22,883/34,324.71 = 9,032/x
  3. Step 3: Cross multiply
    22,883x = 34,324.71 × 9,032
  4. Step 4: Simplify right side
    22,883x = 310,020,735.56
  5. Step 5: Solve for x
    x = 310,020,735.56/22,883
  6. Step 6: Final answer
    x = 13,548.08

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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.