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Finding the Fourth Proportional to 13,856.41, 19,121.97 and 7,888.47

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Solution

The fourth proportional to 13,856.41, 19,121.97 and 7,888.47 is: 10,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.41 : 19,121.97 = 7,888.47 : x
  2. Step 2: Convert to fraction form
    13,856.41/19,121.97 = 7,888.47/x
  3. Step 3: Cross multiply
    13,856.41x = 19,121.97 × 7,888.47
  4. Step 4: Simplify right side
    13,856.41x = 150,843,044.56
  5. Step 5: Solve for x
    x = 150,843,044.56/13,856.41
  6. Step 6: Final answer
    x = 10,886.16

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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.