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Finding the Fourth Proportional to 13,824.73, 19,077.47 and 7,856.70

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Solution

The fourth proportional to 13,824.73, 19,077.47 and 7,856.70 is: 10,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.73 : 19,077.47 = 7,856.70 : x
  2. Step 2: Convert to fraction form
    13,824.73/19,077.47 = 7,856.70/x
  3. Step 3: Cross multiply
    13,824.73x = 19,077.47 × 7,856.70
  4. Step 4: Simplify right side
    13,824.73x = 149,885,921.38
  5. Step 5: Solve for x
    x = 149,885,921.38/13,824.73
  6. Step 6: Final answer
    x = 10,841.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.