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Finding the Fourth Proportional to 22,993.25, 34,461.02 and 9,830.15

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Solution

The fourth proportional to 22,993.25, 34,461.02 and 9,830.15 is: 14,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.25 : 34,461.02 = 9,830.15 : x
  2. Step 2: Convert to fraction form
    22,993.25/34,461.02 = 9,830.15/x
  3. Step 3: Cross multiply
    22,993.25x = 34,461.02 × 9,830.15
  4. Step 4: Simplify right side
    22,993.25x = 338,756,995.75
  5. Step 5: Solve for x
    x = 338,756,995.75/22,993.25
  6. Step 6: Final answer
    x = 14,732.89

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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.