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Finding the Fourth Proportional to 22,156.51, 33,234.78 and 6,574

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Solution

The fourth proportional to 22,156.51, 33,234.78 and 6,574 is: 9,861.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156.51 : 33,234.78 = 6,574 : x
  2. Step 2: Convert to fraction form
    22,156.51/33,234.78 = 6,574/x
  3. Step 3: Cross multiply
    22,156.51x = 33,234.78 × 6,574
  4. Step 4: Simplify right side
    22,156.51x = 218,485,443.72
  5. Step 5: Solve for x
    x = 218,485,443.72/22,156.51
  6. Step 6: Final answer
    x = 9,861.00

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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.