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Finding the Fourth Proportional to 24,254.68, 36,383.05 and 8,461.30

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Solution

The fourth proportional to 24,254.68, 36,383.05 and 8,461.30 is: 12,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.68 : 36,383.05 = 8,461.30 : x
  2. Step 2: Convert to fraction form
    24,254.68/36,383.05 = 8,461.30/x
  3. Step 3: Cross multiply
    24,254.68x = 36,383.05 × 8,461.30
  4. Step 4: Simplify right side
    24,254.68x = 307,847,840.61
  5. Step 5: Solve for x
    x = 307,847,840.61/24,254.68
  6. Step 6: Final answer
    x = 12,692.30

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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.