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Finding the Fourth Proportional to 15,410.25, 23,117.20 and 5,022

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Solution

The fourth proportional to 15,410.25, 23,117.20 and 5,022 is: 7,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410.25 : 23,117.20 = 5,022 : x
  2. Step 2: Convert to fraction form
    15,410.25/23,117.20 = 5,022/x
  3. Step 3: Cross multiply
    15,410.25x = 23,117.20 × 5,022
  4. Step 4: Simplify right side
    15,410.25x = 116,094,565.85
  5. Step 5: Solve for x
    x = 116,094,565.85/15,410.25
  6. Step 6: Final answer
    x = 7,533.59

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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.