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Finding the Fourth Proportional to 24,221.10, 33,424.02 and 14,150.46

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Solution

The fourth proportional to 24,221.10, 33,424.02 and 14,150.46 is: 19,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.10 : 33,424.02 = 14,150.46 : x
  2. Step 2: Convert to fraction form
    24,221.10/33,424.02 = 14,150.46/x
  3. Step 3: Cross multiply
    24,221.10x = 33,424.02 × 14,150.46
  4. Step 4: Simplify right side
    24,221.10x = 472,965,258.05
  5. Step 5: Solve for x
    x = 472,965,258.05/24,221.10
  6. Step 6: Final answer
    x = 19,526.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.