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Finding the Fourth Proportional to 12,403.08, 17,116.22 and 6,814.08

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Solution

The fourth proportional to 12,403.08, 17,116.22 and 6,814.08 is: 9,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.08 : 17,116.22 = 6,814.08 : x
  2. Step 2: Convert to fraction form
    12,403.08/17,116.22 = 6,814.08/x
  3. Step 3: Cross multiply
    12,403.08x = 17,116.22 × 6,814.08
  4. Step 4: Simplify right side
    12,403.08x = 116,631,292.38
  5. Step 5: Solve for x
    x = 116,631,292.38/12,403.08
  6. Step 6: Final answer
    x = 9,403.41

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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.