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Finding the Fourth Proportional to 24,416.51, 36,624.78 and 8,830.49

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Solution

The fourth proportional to 24,416.51, 36,624.78 and 8,830.49 is: 13,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.51 : 36,624.78 = 8,830.49 : x
  2. Step 2: Convert to fraction form
    24,416.51/36,624.78 = 8,830.49/x
  3. Step 3: Cross multiply
    24,416.51x = 36,624.78 × 8,830.49
  4. Step 4: Simplify right side
    24,416.51x = 323,414,753.54
  5. Step 5: Solve for x
    x = 323,414,753.54/24,416.51
  6. Step 6: Final answer
    x = 13,245.74

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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.