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Finding the Fourth Proportional to 22,315.96, 33,473.02 and 9,168

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Solution

The fourth proportional to 22,315.96, 33,473.02 and 9,168 is: 13,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.96 : 33,473.02 = 9,168 : x
  2. Step 2: Convert to fraction form
    22,315.96/33,473.02 = 9,168/x
  3. Step 3: Cross multiply
    22,315.96x = 33,473.02 × 9,168
  4. Step 4: Simplify right side
    22,315.96x = 306,880,647.36
  5. Step 5: Solve for x
    x = 306,880,647.36/22,315.96
  6. Step 6: Final answer
    x = 13,751.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.