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Finding the Fourth Proportional to 24,229.82, 36,345.02 and 6,460.38

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Solution

The fourth proportional to 24,229.82, 36,345.02 and 6,460.38 is: 9,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,229.82 : 36,345.02 = 6,460.38 : x
  2. Step 2: Convert to fraction form
    24,229.82/36,345.02 = 6,460.38/x
  3. Step 3: Cross multiply
    24,229.82x = 36,345.02 × 6,460.38
  4. Step 4: Simplify right side
    24,229.82x = 234,802,608.01
  5. Step 5: Solve for x
    x = 234,802,608.01/24,229.82
  6. Step 6: Final answer
    x = 9,690.64

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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.