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Finding the Fourth Proportional to 13,467.36, 18,584.88 and 7,878.24

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Solution

The fourth proportional to 13,467.36, 18,584.88 and 7,878.24 is: 10,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.36 : 18,584.88 = 7,878.24 : x
  2. Step 2: Convert to fraction form
    13,467.36/18,584.88 = 7,878.24/x
  3. Step 3: Cross multiply
    13,467.36x = 18,584.88 × 7,878.24
  4. Step 4: Simplify right side
    13,467.36x = 146,416,145.01
  5. Step 5: Solve for x
    x = 146,416,145.01/13,467.36
  6. Step 6: Final answer
    x = 10,871.93

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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.