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Finding the Fourth Proportional to 12,766.84, 17,616.89 and 7,100.66

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Solution

The fourth proportional to 12,766.84, 17,616.89 and 7,100.66 is: 9,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.84 : 17,616.89 = 7,100.66 : x
  2. Step 2: Convert to fraction form
    12,766.84/17,616.89 = 7,100.66/x
  3. Step 3: Cross multiply
    12,766.84x = 17,616.89 × 7,100.66
  4. Step 4: Simplify right side
    12,766.84x = 125,091,607.94
  5. Step 5: Solve for x
    x = 125,091,607.94/12,766.84
  6. Step 6: Final answer
    x = 9,798.17

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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.