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Finding the Fourth Proportional to 24,311.81, 36,464.58 and 6,543.95

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Solution

The fourth proportional to 24,311.81, 36,464.58 and 6,543.95 is: 9,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.81 : 36,464.58 = 6,543.95 : x
  2. Step 2: Convert to fraction form
    24,311.81/36,464.58 = 6,543.95/x
  3. Step 3: Cross multiply
    24,311.81x = 36,464.58 × 6,543.95
  4. Step 4: Simplify right side
    24,311.81x = 238,622,205.97
  5. Step 5: Solve for x
    x = 238,622,205.97/24,311.81
  6. Step 6: Final answer
    x = 9,815.08

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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.