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Finding the Fourth Proportional to 22,473.50, 33,715.65 and 8,622.50

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Solution

The fourth proportional to 22,473.50, 33,715.65 and 8,622.50 is: 12,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.50 : 33,715.65 = 8,622.50 : x
  2. Step 2: Convert to fraction form
    22,473.50/33,715.65 = 8,622.50/x
  3. Step 3: Cross multiply
    22,473.50x = 33,715.65 × 8,622.50
  4. Step 4: Simplify right side
    22,473.50x = 290,713,192.13
  5. Step 5: Solve for x
    x = 290,713,192.13/22,473.50
  6. Step 6: Final answer
    x = 12,935.82

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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.