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Finding the Fourth Proportional to 12,480.98, 17,223.82 and 6,815.66

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Solution

The fourth proportional to 12,480.98, 17,223.82 and 6,815.66 is: 9,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.98 : 17,223.82 = 6,815.66 : x
  2. Step 2: Convert to fraction form
    12,480.98/17,223.82 = 6,815.66/x
  3. Step 3: Cross multiply
    12,480.98x = 17,223.82 × 6,815.66
  4. Step 4: Simplify right side
    12,480.98x = 117,391,597.86
  5. Step 5: Solve for x
    x = 117,391,597.86/12,480.98
  6. Step 6: Final answer
    x = 9,405.64

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