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Finding the Fourth Proportional to 17,745.92, 24,488.54 and 10,187

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Solution

The fourth proportional to 17,745.92, 24,488.54 and 10,187 is: 14,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.92 : 24,488.54 = 10,187 : x
  2. Step 2: Convert to fraction form
    17,745.92/24,488.54 = 10,187/x
  3. Step 3: Cross multiply
    17,745.92x = 24,488.54 × 10,187
  4. Step 4: Simplify right side
    17,745.92x = 249,464,756.98
  5. Step 5: Solve for x
    x = 249,464,756.98/17,745.92
  6. Step 6: Final answer
    x = 14,057.58

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