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Finding the Fourth Proportional to 22,013.64, 33,000.24 and 9,525.84

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Solution

The fourth proportional to 22,013.64, 33,000.24 and 9,525.84 is: 14,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.64 : 33,000.24 = 9,525.84 : x
  2. Step 2: Convert to fraction form
    22,013.64/33,000.24 = 9,525.84/x
  3. Step 3: Cross multiply
    22,013.64x = 33,000.24 × 9,525.84
  4. Step 4: Simplify right side
    22,013.64x = 314,355,006.20
  5. Step 5: Solve for x
    x = 314,355,006.20/22,013.64
  6. Step 6: Final answer
    x = 14,280.01

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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.