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Finding the Fourth Proportional to 24,376.32, 33,696 and 21,749.76

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Solution

The fourth proportional to 24,376.32, 33,696 and 21,749.76 is: 30,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.32 : 33,696 = 21,749.76 : x
  2. Step 2: Convert to fraction form
    24,376.32/33,696 = 21,749.76/x
  3. Step 3: Cross multiply
    24,376.32x = 33,696 × 21,749.76
  4. Step 4: Simplify right side
    24,376.32x = 732,879,912.96
  5. Step 5: Solve for x
    x = 732,879,912.96/24,376.32
  6. Step 6: Final answer
    x = 30,065.24

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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.