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Finding the Fourth Proportional to 24,032.70, 33,164.10 and 13,422.15

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Solution

The fourth proportional to 24,032.70, 33,164.10 and 13,422.15 is: 18,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.70 : 33,164.10 = 13,422.15 : x
  2. Step 2: Convert to fraction form
    24,032.70/33,164.10 = 13,422.15/x
  3. Step 3: Cross multiply
    24,032.70x = 33,164.10 × 13,422.15
  4. Step 4: Simplify right side
    24,032.70x = 445,133,524.82
  5. Step 5: Solve for x
    x = 445,133,524.82/24,032.70
  6. Step 6: Final answer
    x = 18,521.99

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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.