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Finding the Fourth Proportional to 19,872.70, 27,424.32 and 10,920.78

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Solution

The fourth proportional to 19,872.70, 27,424.32 and 10,920.78 is: 15,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.70 : 27,424.32 = 10,920.78 : x
  2. Step 2: Convert to fraction form
    19,872.70/27,424.32 = 10,920.78/x
  3. Step 3: Cross multiply
    19,872.70x = 27,424.32 × 10,920.78
  4. Step 4: Simplify right side
    19,872.70x = 299,494,965.37
  5. Step 5: Solve for x
    x = 299,494,965.37/19,872.70
  6. Step 6: Final answer
    x = 15,070.67

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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.