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Finding the Fourth Proportional to 13,521.78, 18,661.86 and 7,856.64

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Solution

The fourth proportional to 13,521.78, 18,661.86 and 7,856.64 is: 10,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.78 : 18,661.86 = 7,856.64 : x
  2. Step 2: Convert to fraction form
    13,521.78/18,661.86 = 7,856.64/x
  3. Step 3: Cross multiply
    13,521.78x = 18,661.86 × 7,856.64
  4. Step 4: Simplify right side
    13,521.78x = 146,619,515.75
  5. Step 5: Solve for x
    x = 146,619,515.75/13,521.78
  6. Step 6: Final answer
    x = 10,843.21

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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.