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Finding the Fourth Proportional to 17,745.94, 24,490.65 and 10,193.50

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Solution

The fourth proportional to 17,745.94, 24,490.65 and 10,193.50 is: 14,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.94 : 24,490.65 = 10,193.50 : x
  2. Step 2: Convert to fraction form
    17,745.94/24,490.65 = 10,193.50/x
  3. Step 3: Cross multiply
    17,745.94x = 24,490.65 × 10,193.50
  4. Step 4: Simplify right side
    17,745.94x = 249,645,440.78
  5. Step 5: Solve for x
    x = 249,645,440.78/17,745.94
  6. Step 6: Final answer
    x = 14,067.75

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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.