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Finding the Fourth Proportional to 22,961.27, 34,409.01 and 13,080.15

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Solution

The fourth proportional to 22,961.27, 34,409.01 and 13,080.15 is: 19,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.27 : 34,409.01 = 13,080.15 : x
  2. Step 2: Convert to fraction form
    22,961.27/34,409.01 = 13,080.15/x
  3. Step 3: Cross multiply
    22,961.27x = 34,409.01 × 13,080.15
  4. Step 4: Simplify right side
    22,961.27x = 450,075,012.15
  5. Step 5: Solve for x
    x = 450,075,012.15/22,961.27
  6. Step 6: Final answer
    x = 19,601.49

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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.