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Finding the Fourth Proportional to 16,900.98, 23,324.16 and 10,188.78

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Solution

The fourth proportional to 16,900.98, 23,324.16 and 10,188.78 is: 14,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.98 : 23,324.16 = 10,188.78 : x
  2. Step 2: Convert to fraction form
    16,900.98/23,324.16 = 10,188.78/x
  3. Step 3: Cross multiply
    16,900.98x = 23,324.16 × 10,188.78
  4. Step 4: Simplify right side
    16,900.98x = 237,644,734.92
  5. Step 5: Solve for x
    x = 237,644,734.92/16,900.98
  6. Step 6: Final answer
    x = 14,061.00

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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.