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Finding the Fourth Proportional to 24,179.84, 36,235.20 and 13,770.08

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Solution

The fourth proportional to 24,179.84, 36,235.20 and 13,770.08 is: 20,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.84 : 36,235.20 = 13,770.08 : x
  2. Step 2: Convert to fraction form
    24,179.84/36,235.20 = 13,770.08/x
  3. Step 3: Cross multiply
    24,179.84x = 36,235.20 × 13,770.08
  4. Step 4: Simplify right side
    24,179.84x = 498,961,602.82
  5. Step 5: Solve for x
    x = 498,961,602.82/24,179.84
  6. Step 6: Final answer
    x = 20,635.44

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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.