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Finding the Fourth Proportional to 24,308.94, 36,468.30 and 7,671.54

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Solution

The fourth proportional to 24,308.94, 36,468.30 and 7,671.54 is: 11,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.94 : 36,468.30 = 7,671.54 : x
  2. Step 2: Convert to fraction form
    24,308.94/36,468.30 = 7,671.54/x
  3. Step 3: Cross multiply
    24,308.94x = 36,468.30 × 7,671.54
  4. Step 4: Simplify right side
    24,308.94x = 279,768,022.18
  5. Step 5: Solve for x
    x = 279,768,022.18/24,308.94
  6. Step 6: Final answer
    x = 11,508.85

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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.