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Finding the Fourth Proportional to 17,839.16, 24,616.14 and 10,285.40

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Solution

The fourth proportional to 17,839.16, 24,616.14 and 10,285.40 is: 14,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839.16 : 24,616.14 = 10,285.40 : x
  2. Step 2: Convert to fraction form
    17,839.16/24,616.14 = 10,285.40/x
  3. Step 3: Cross multiply
    17,839.16x = 24,616.14 × 10,285.40
  4. Step 4: Simplify right side
    17,839.16x = 253,186,846.36
  5. Step 5: Solve for x
    x = 253,186,846.36/17,839.16
  6. Step 6: Final answer
    x = 14,192.76

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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.