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Finding the Fourth Proportional to 17,838.24, 24,616.80 and 9,880.80

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Solution

The fourth proportional to 17,838.24, 24,616.80 and 9,880.80 is: 13,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.24 : 24,616.80 = 9,880.80 : x
  2. Step 2: Convert to fraction form
    17,838.24/24,616.80 = 9,880.80/x
  3. Step 3: Cross multiply
    17,838.24x = 24,616.80 × 9,880.80
  4. Step 4: Simplify right side
    17,838.24x = 243,233,677.44
  5. Step 5: Solve for x
    x = 243,233,677.44/17,838.24
  6. Step 6: Final answer
    x = 13,635.52

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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.