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Finding the Fourth Proportional to 13,812.24, 19,060.16 and 7,843.76

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Solution

The fourth proportional to 13,812.24, 19,060.16 and 7,843.76 is: 10,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.24 : 19,060.16 = 7,843.76 : x
  2. Step 2: Convert to fraction form
    13,812.24/19,060.16 = 7,843.76/x
  3. Step 3: Cross multiply
    13,812.24x = 19,060.16 × 7,843.76
  4. Step 4: Simplify right side
    13,812.24x = 149,503,320.60
  5. Step 5: Solve for x
    x = 149,503,320.60/13,812.24
  6. Step 6: Final answer
    x = 10,823.97

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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.