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Finding the Fourth Proportional to 24,178.34, 33,364.43 and 13,422.37

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Solution

The fourth proportional to 24,178.34, 33,364.43 and 13,422.37 is: 18,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.34 : 33,364.43 = 13,422.37 : x
  2. Step 2: Convert to fraction form
    24,178.34/33,364.43 = 13,422.37/x
  3. Step 3: Cross multiply
    24,178.34x = 33,364.43 × 13,422.37
  4. Step 4: Simplify right side
    24,178.34x = 447,829,724.30
  5. Step 5: Solve for x
    x = 447,829,724.30/24,178.34
  6. Step 6: Final answer
    x = 18,521.94

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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.