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Finding the Fourth Proportional to 15,400.13, 23,100.19 and 6,166.13

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Solution

The fourth proportional to 15,400.13, 23,100.19 and 6,166.13 is: 9,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.13 : 23,100.19 = 6,166.13 : x
  2. Step 2: Convert to fraction form
    15,400.13/23,100.19 = 6,166.13/x
  3. Step 3: Cross multiply
    15,400.13x = 23,100.19 × 6,166.13
  4. Step 4: Simplify right side
    15,400.13x = 142,438,643.65
  5. Step 5: Solve for x
    x = 142,438,643.65/15,400.13
  6. Step 6: Final answer
    x = 9,249.19

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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.