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Finding the Fourth Proportional to 12,406.90, 17,121.59 and 6,741.69

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Solution

The fourth proportional to 12,406.90, 17,121.59 and 6,741.69 is: 9,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.90 : 17,121.59 = 6,741.69 : x
  2. Step 2: Convert to fraction form
    12,406.90/17,121.59 = 6,741.69/x
  3. Step 3: Cross multiply
    12,406.90x = 17,121.59 × 6,741.69
  4. Step 4: Simplify right side
    12,406.90x = 115,428,418.38
  5. Step 5: Solve for x
    x = 115,428,418.38/12,406.90
  6. Step 6: Final answer
    x = 9,303.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.