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Finding the Fourth Proportional to 22,005.84, 33,011.04 and 6,423.36

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Solution

The fourth proportional to 22,005.84, 33,011.04 and 6,423.36 is: 9,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.84 : 33,011.04 = 6,423.36 : x
  2. Step 2: Convert to fraction form
    22,005.84/33,011.04 = 6,423.36/x
  3. Step 3: Cross multiply
    22,005.84x = 33,011.04 × 6,423.36
  4. Step 4: Simplify right side
    22,005.84x = 212,041,793.89
  5. Step 5: Solve for x
    x = 212,041,793.89/22,005.84
  6. Step 6: Final answer
    x = 9,635.71

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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.