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Finding the Fourth Proportional to 24,584.64, 36,876.93 and 6,116.64

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Solution

The fourth proportional to 24,584.64, 36,876.93 and 6,116.64 is: 9,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,584.64 : 36,876.93 = 6,116.64 : x
  2. Step 2: Convert to fraction form
    24,584.64/36,876.93 = 6,116.64/x
  3. Step 3: Cross multiply
    24,584.64x = 36,876.93 × 6,116.64
  4. Step 4: Simplify right side
    24,584.64x = 225,562,905.12
  5. Step 5: Solve for x
    x = 225,562,905.12/24,584.64
  6. Step 6: Final answer
    x = 9,174.95

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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.