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Finding the Fourth Proportional to 24,830.54, 37,244.89 and 8,190.10

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Solution

The fourth proportional to 24,830.54, 37,244.89 and 8,190.10 is: 12,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.54 : 37,244.89 = 8,190.10 : x
  2. Step 2: Convert to fraction form
    24,830.54/37,244.89 = 8,190.10/x
  3. Step 3: Cross multiply
    24,830.54x = 37,244.89 × 8,190.10
  4. Step 4: Simplify right side
    24,830.54x = 305,039,373.59
  5. Step 5: Solve for x
    x = 305,039,373.59/24,830.54
  6. Step 6: Final answer
    x = 12,284.85

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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.