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Finding the Fourth Proportional to 16,299.74, 22,491.86 and 9,224.76

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Solution

The fourth proportional to 16,299.74, 22,491.86 and 9,224.76 is: 12,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.74 : 22,491.86 = 9,224.76 : x
  2. Step 2: Convert to fraction form
    16,299.74/22,491.86 = 9,224.76/x
  3. Step 3: Cross multiply
    16,299.74x = 22,491.86 × 9,224.76
  4. Step 4: Simplify right side
    16,299.74x = 207,482,010.45
  5. Step 5: Solve for x
    x = 207,482,010.45/16,299.74
  6. Step 6: Final answer
    x = 12,729.16

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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.