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Finding the Fourth Proportional to 24,186.48, 36,284.24 and 8,390.80

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Solution

The fourth proportional to 24,186.48, 36,284.24 and 8,390.80 is: 12,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.48 : 36,284.24 = 8,390.80 : x
  2. Step 2: Convert to fraction form
    24,186.48/36,284.24 = 8,390.80/x
  3. Step 3: Cross multiply
    24,186.48x = 36,284.24 × 8,390.80
  4. Step 4: Simplify right side
    24,186.48x = 304,453,800.99
  5. Step 5: Solve for x
    x = 304,453,800.99/24,186.48
  6. Step 6: Final answer
    x = 12,587.77

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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.