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Finding the Fourth Proportional to 12,480.17, 17,222.72 and 6,814.77

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Solution

The fourth proportional to 12,480.17, 17,222.72 and 6,814.77 is: 9,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.17 : 17,222.72 = 6,814.77 : x
  2. Step 2: Convert to fraction form
    12,480.17/17,222.72 = 6,814.77/x
  3. Step 3: Cross multiply
    12,480.17x = 17,222.72 × 6,814.77
  4. Step 4: Simplify right side
    12,480.17x = 117,368,841.50
  5. Step 5: Solve for x
    x = 117,368,841.50/12,480.17
  6. Step 6: Final answer
    x = 9,404.43

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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.