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Finding the Fourth Proportional to 24,643.18, 36,959.37 and 7,109.20

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Solution

The fourth proportional to 24,643.18, 36,959.37 and 7,109.20 is: 10,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.18 : 36,959.37 = 7,109.20 : x
  2. Step 2: Convert to fraction form
    24,643.18/36,959.37 = 7,109.20/x
  3. Step 3: Cross multiply
    24,643.18x = 36,959.37 × 7,109.20
  4. Step 4: Simplify right side
    24,643.18x = 262,751,553.20
  5. Step 5: Solve for x
    x = 262,751,553.20/24,643.18
  6. Step 6: Final answer
    x = 10,662.24

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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.