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Finding the Fourth Proportional to 24,322.78, 33,494.36 and 23,298.54

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Solution

The fourth proportional to 24,322.78, 33,494.36 and 23,298.54 is: 32,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.78 : 33,494.36 = 23,298.54 : x
  2. Step 2: Convert to fraction form
    24,322.78/33,494.36 = 23,298.54/x
  3. Step 3: Cross multiply
    24,322.78x = 33,494.36 × 23,298.54
  4. Step 4: Simplify right side
    24,322.78x = 780,369,575.19
  5. Step 5: Solve for x
    x = 780,369,575.19/24,322.78
  6. Step 6: Final answer
    x = 32,083.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.