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Finding the Fourth Proportional to 17,649.24, 24,356.52 and 10,197.24

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Solution

The fourth proportional to 17,649.24, 24,356.52 and 10,197.24 is: 14,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.24 : 24,356.52 = 10,197.24 : x
  2. Step 2: Convert to fraction form
    17,649.24/24,356.52 = 10,197.24/x
  3. Step 3: Cross multiply
    17,649.24x = 24,356.52 × 10,197.24
  4. Step 4: Simplify right side
    17,649.24x = 248,369,280.00
  5. Step 5: Solve for x
    x = 248,369,280.00/17,649.24
  6. Step 6: Final answer
    x = 14,072.52

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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.