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Finding the Fourth Proportional to 22,957.74, 34,412.04 and 11,861.46

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Solution

The fourth proportional to 22,957.74, 34,412.04 and 11,861.46 is: 17,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.74 : 34,412.04 = 11,861.46 : x
  2. Step 2: Convert to fraction form
    22,957.74/34,412.04 = 11,861.46/x
  3. Step 3: Cross multiply
    22,957.74x = 34,412.04 × 11,861.46
  4. Step 4: Simplify right side
    22,957.74x = 408,177,035.98
  5. Step 5: Solve for x
    x = 408,177,035.98/22,957.74
  6. Step 6: Final answer
    x = 17,779.50

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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.