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Finding the Fourth Proportional to 22,158.98, 33,244.74 and 9,020.78

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Solution

The fourth proportional to 22,158.98, 33,244.74 and 9,020.78 is: 13,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,158.98 : 33,244.74 = 9,020.78 : x
  2. Step 2: Convert to fraction form
    22,158.98/33,244.74 = 9,020.78/x
  3. Step 3: Cross multiply
    22,158.98x = 33,244.74 × 9,020.78
  4. Step 4: Simplify right side
    22,158.98x = 299,893,485.70
  5. Step 5: Solve for x
    x = 299,893,485.70/22,158.98
  6. Step 6: Final answer
    x = 13,533.72

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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.