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Finding the Fourth Proportional to 24,270.83, 36,415.01 and 8,478.19

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Solution

The fourth proportional to 24,270.83, 36,415.01 and 8,478.19 is: 12,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270.83 : 36,415.01 = 8,478.19 : x
  2. Step 2: Convert to fraction form
    24,270.83/36,415.01 = 8,478.19/x
  3. Step 3: Cross multiply
    24,270.83x = 36,415.01 × 8,478.19
  4. Step 4: Simplify right side
    24,270.83x = 308,733,408.55
  5. Step 5: Solve for x
    x = 308,733,408.55/24,270.83
  6. Step 6: Final answer
    x = 12,720.35

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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.