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Finding the Fourth Proportional to 12,700.75, 17,522.98 and 8,227.93

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Solution

The fourth proportional to 12,700.75, 17,522.98 and 8,227.93 is: 11,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.75 : 17,522.98 = 8,227.93 : x
  2. Step 2: Convert to fraction form
    12,700.75/17,522.98 = 8,227.93/x
  3. Step 3: Cross multiply
    12,700.75x = 17,522.98 × 8,227.93
  4. Step 4: Simplify right side
    12,700.75x = 144,177,852.83
  5. Step 5: Solve for x
    x = 144,177,852.83/12,700.75
  6. Step 6: Final answer
    x = 11,351.92

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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.