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Finding the Fourth Proportional to 24,822.39, 37,235.40 and 9,240

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Solution

The fourth proportional to 24,822.39, 37,235.40 and 9,240 is: 13,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.39 : 37,235.40 = 9,240 : x
  2. Step 2: Convert to fraction form
    24,822.39/37,235.40 = 9,240/x
  3. Step 3: Cross multiply
    24,822.39x = 37,235.40 × 9,240
  4. Step 4: Simplify right side
    24,822.39x = 344,055,096
  5. Step 5: Solve for x
    x = 344,055,096/24,822.39
  6. Step 6: Final answer
    x = 13,860.68

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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.