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Finding the Fourth Proportional to 22,961.74, 34,410.53 and 12,409.01

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Solution

The fourth proportional to 22,961.74, 34,410.53 and 12,409.01 is: 18,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.74 : 34,410.53 = 12,409.01 : x
  2. Step 2: Convert to fraction form
    22,961.74/34,410.53 = 12,409.01/x
  3. Step 3: Cross multiply
    22,961.74x = 34,410.53 × 12,409.01
  4. Step 4: Simplify right side
    22,961.74x = 427,000,610.88
  5. Step 5: Solve for x
    x = 427,000,610.88/22,961.74
  6. Step 6: Final answer
    x = 18,596.18

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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.