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Finding the Fourth Proportional to 24,310.80, 36,415.44 and 12,588.48

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Solution

The fourth proportional to 24,310.80, 36,415.44 and 12,588.48 is: 18,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.80 : 36,415.44 = 12,588.48 : x
  2. Step 2: Convert to fraction form
    24,310.80/36,415.44 = 12,588.48/x
  3. Step 3: Cross multiply
    24,310.80x = 36,415.44 × 12,588.48
  4. Step 4: Simplify right side
    24,310.80x = 458,415,038.13
  5. Step 5: Solve for x
    x = 458,415,038.13/24,310.80
  6. Step 6: Final answer
    x = 18,856.44

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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.