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Finding the Fourth Proportional to 13,856.79, 19,117.63 and 7,886.97

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Solution

The fourth proportional to 13,856.79, 19,117.63 and 7,886.97 is: 10,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.79 : 19,117.63 = 7,886.97 : x
  2. Step 2: Convert to fraction form
    13,856.79/19,117.63 = 7,886.97/x
  3. Step 3: Cross multiply
    13,856.79x = 19,117.63 × 7,886.97
  4. Step 4: Simplify right side
    13,856.79x = 150,780,174.28
  5. Step 5: Solve for x
    x = 150,780,174.28/13,856.79
  6. Step 6: Final answer
    x = 10,881.32

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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.