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Finding the Fourth Proportional to 17,718.02, 24,474.22 and 13,234

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Solution

The fourth proportional to 17,718.02, 24,474.22 and 13,234 is: 18,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.02 : 24,474.22 = 13,234 : x
  2. Step 2: Convert to fraction form
    17,718.02/24,474.22 = 13,234/x
  3. Step 3: Cross multiply
    17,718.02x = 24,474.22 × 13,234
  4. Step 4: Simplify right side
    17,718.02x = 323,891,827.48
  5. Step 5: Solve for x
    x = 323,891,827.48/17,718.02
  6. Step 6: Final answer
    x = 18,280.36

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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.