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Finding the Fourth Proportional to 17,696.32, 24,420.50 and 10,147.07

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Solution

The fourth proportional to 17,696.32, 24,420.50 and 10,147.07 is: 14,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.32 : 24,420.50 = 10,147.07 : x
  2. Step 2: Convert to fraction form
    17,696.32/24,420.50 = 10,147.07/x
  3. Step 3: Cross multiply
    17,696.32x = 24,420.50 × 10,147.07
  4. Step 4: Simplify right side
    17,696.32x = 247,796,571.30
  5. Step 5: Solve for x
    x = 247,796,571.30/17,696.32
  6. Step 6: Final answer
    x = 14,002.72

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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.