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Finding the Fourth Proportional to 24,899.22, 37,339.47 and 9,099

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Solution

The fourth proportional to 24,899.22, 37,339.47 and 9,099 is: 13,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,899.22 : 37,339.47 = 9,099 : x
  2. Step 2: Convert to fraction form
    24,899.22/37,339.47 = 9,099/x
  3. Step 3: Cross multiply
    24,899.22x = 37,339.47 × 9,099
  4. Step 4: Simplify right side
    24,899.22x = 339,751,837.53
  5. Step 5: Solve for x
    x = 339,751,837.53/24,899.22
  6. Step 6: Final answer
    x = 13,645.08

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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.