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Finding the Fourth Proportional to 22,580.96, 33,923.32 and 15,932.74

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Solution

The fourth proportional to 22,580.96, 33,923.32 and 15,932.74 is: 23,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.96 : 33,923.32 = 15,932.74 : x
  2. Step 2: Convert to fraction form
    22,580.96/33,923.32 = 15,932.74/x
  3. Step 3: Cross multiply
    22,580.96x = 33,923.32 × 15,932.74
  4. Step 4: Simplify right side
    22,580.96x = 540,491,437.50
  5. Step 5: Solve for x
    x = 540,491,437.50/22,580.96
  6. Step 6: Final answer
    x = 23,935.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.