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Finding the Fourth Proportional to 17,341.18, 23,930.91 and 9,787.83

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Solution

The fourth proportional to 17,341.18, 23,930.91 and 9,787.83 is: 13,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,341.18 : 23,930.91 = 9,787.83 : x
  2. Step 2: Convert to fraction form
    17,341.18/23,930.91 = 9,787.83/x
  3. Step 3: Cross multiply
    17,341.18x = 23,930.91 × 9,787.83
  4. Step 4: Simplify right side
    17,341.18x = 234,231,552.38
  5. Step 5: Solve for x
    x = 234,231,552.38/17,341.18
  6. Step 6: Final answer
    x = 13,507.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.