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Finding the Fourth Proportional to 16,315.89, 22,510.56 and 9,144.75

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Solution

The fourth proportional to 16,315.89, 22,510.56 and 9,144.75 is: 12,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.89 : 22,510.56 = 9,144.75 : x
  2. Step 2: Convert to fraction form
    16,315.89/22,510.56 = 9,144.75/x
  3. Step 3: Cross multiply
    16,315.89x = 22,510.56 × 9,144.75
  4. Step 4: Simplify right side
    16,315.89x = 205,853,443.56
  5. Step 5: Solve for x
    x = 205,853,443.56/16,315.89
  6. Step 6: Final answer
    x = 12,616.75

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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.