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Finding the Fourth Proportional to 24,384.18, 36,577.54 and 7,745.52

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Solution

The fourth proportional to 24,384.18, 36,577.54 and 7,745.52 is: 11,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.18 : 36,577.54 = 7,745.52 : x
  2. Step 2: Convert to fraction form
    24,384.18/36,577.54 = 7,745.52/x
  3. Step 3: Cross multiply
    24,384.18x = 36,577.54 × 7,745.52
  4. Step 4: Simplify right side
    24,384.18x = 283,312,067.62
  5. Step 5: Solve for x
    x = 283,312,067.62/24,384.18
  6. Step 6: Final answer
    x = 11,618.68

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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.