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Finding the Fourth Proportional to 17,745.40, 24,488.32 and 9,788.38

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Solution

The fourth proportional to 17,745.40, 24,488.32 and 9,788.38 is: 13,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.40 : 24,488.32 = 9,788.38 : x
  2. Step 2: Convert to fraction form
    17,745.40/24,488.32 = 9,788.38/x
  3. Step 3: Cross multiply
    17,745.40x = 24,488.32 × 9,788.38
  4. Step 4: Simplify right side
    17,745.40x = 239,700,981.72
  5. Step 5: Solve for x
    x = 239,700,981.72/17,745.40
  6. Step 6: Final answer
    x = 13,507.78

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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.