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Finding the Fourth Proportional to 16,301.70, 22,464.09 and 11,572.74

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Solution

The fourth proportional to 16,301.70, 22,464.09 and 11,572.74 is: 15,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.70 : 22,464.09 = 11,572.74 : x
  2. Step 2: Convert to fraction form
    16,301.70/22,464.09 = 11,572.74/x
  3. Step 3: Cross multiply
    16,301.70x = 22,464.09 × 11,572.74
  4. Step 4: Simplify right side
    16,301.70x = 259,971,072.91
  5. Step 5: Solve for x
    x = 259,971,072.91/16,301.70
  6. Step 6: Final answer
    x = 15,947.48

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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.