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Finding the Fourth Proportional to 17,354.15, 23,948.56 and 9,800.34

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Solution

The fourth proportional to 17,354.15, 23,948.56 and 9,800.34 is: 13,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,354.15 : 23,948.56 = 9,800.34 : x
  2. Step 2: Convert to fraction form
    17,354.15/23,948.56 = 9,800.34/x
  3. Step 3: Cross multiply
    17,354.15x = 23,948.56 × 9,800.34
  4. Step 4: Simplify right side
    17,354.15x = 234,704,006.01
  5. Step 5: Solve for x
    x = 234,704,006.01/17,354.15
  6. Step 6: Final answer
    x = 13,524.38

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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.