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Finding the Fourth Proportional to 22,930, 34,396.64 and 9,079

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Solution

The fourth proportional to 22,930, 34,396.64 and 9,079 is: 13,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930 : 34,396.64 = 9,079 : x
  2. Step 2: Convert to fraction form
    22,930/34,396.64 = 9,079/x
  3. Step 3: Cross multiply
    22,930x = 34,396.64 × 9,079
  4. Step 4: Simplify right side
    22,930x = 312,287,094.56
  5. Step 5: Solve for x
    x = 312,287,094.56/22,930
  6. Step 6: Final answer
    x = 13,619.15

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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.