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Finding the Fourth Proportional to 17,837.64, 24,616.02 and 9,880.02

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Solution

The fourth proportional to 17,837.64, 24,616.02 and 9,880.02 is: 13,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.64 : 24,616.02 = 9,880.02 : x
  2. Step 2: Convert to fraction form
    17,837.64/24,616.02 = 9,880.02/x
  3. Step 3: Cross multiply
    17,837.64x = 24,616.02 × 9,880.02
  4. Step 4: Simplify right side
    17,837.64x = 243,206,769.92
  5. Step 5: Solve for x
    x = 243,206,769.92/17,837.64
  6. Step 6: Final answer
    x = 13,634.47

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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.