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Finding the Fourth Proportional to 22,133.54, 33,178.98 and 14,213.72

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Solution

The fourth proportional to 22,133.54, 33,178.98 and 14,213.72 is: 21,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.54 : 33,178.98 = 14,213.72 : x
  2. Step 2: Convert to fraction form
    22,133.54/33,178.98 = 14,213.72/x
  3. Step 3: Cross multiply
    22,133.54x = 33,178.98 × 14,213.72
  4. Step 4: Simplify right side
    22,133.54x = 471,596,731.61
  5. Step 5: Solve for x
    x = 471,596,731.61/22,133.54
  6. Step 6: Final answer
    x = 21,306.88

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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.