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Finding the Fourth Proportional to 13,856.19, 20,784.29 and 5,087.31

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Solution

The fourth proportional to 13,856.19, 20,784.29 and 5,087.31 is: 7,630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.19 : 20,784.29 = 5,087.31 : x
  2. Step 2: Convert to fraction form
    13,856.19/20,784.29 = 5,087.31/x
  3. Step 3: Cross multiply
    13,856.19x = 20,784.29 × 5,087.31
  4. Step 4: Simplify right side
    13,856.19x = 105,736,100.92
  5. Step 5: Solve for x
    x = 105,736,100.92/13,856.19
  6. Step 6: Final answer
    x = 7,630.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.