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Finding the Fourth Proportional to 24,384, 36,583.04 and 14,003.20

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Solution

The fourth proportional to 24,384, 36,583.04 and 14,003.20 is: 21,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 36,583.04 = 14,003.20 : x
  2. Step 2: Convert to fraction form
    24,384/36,583.04 = 14,003.20/x
  3. Step 3: Cross multiply
    24,384x = 36,583.04 × 14,003.20
  4. Step 4: Simplify right side
    24,384x = 512,279,625.73
  5. Step 5: Solve for x
    x = 512,279,625.73/24,384
  6. Step 6: Final answer
    x = 21,008.84

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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.