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Finding the Fourth Proportional to 15,467.60, 23,199.24 and 5,078

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Solution

The fourth proportional to 15,467.60, 23,199.24 and 5,078 is: 7,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,467.60 : 23,199.24 = 5,078 : x
  2. Step 2: Convert to fraction form
    15,467.60/23,199.24 = 5,078/x
  3. Step 3: Cross multiply
    15,467.60x = 23,199.24 × 5,078
  4. Step 4: Simplify right side
    15,467.60x = 117,805,740.72
  5. Step 5: Solve for x
    x = 117,805,740.72/15,467.60
  6. Step 6: Final answer
    x = 7,616.29

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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.