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Finding the Fourth Proportional to 12,002.82, 16,562.34 and 6,696.84

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Solution

The fourth proportional to 12,002.82, 16,562.34 and 6,696.84 is: 9,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.82 : 16,562.34 = 6,696.84 : x
  2. Step 2: Convert to fraction form
    12,002.82/16,562.34 = 6,696.84/x
  3. Step 3: Cross multiply
    12,002.82x = 16,562.34 × 6,696.84
  4. Step 4: Simplify right side
    12,002.82x = 110,915,341.01
  5. Step 5: Solve for x
    x = 110,915,341.01/12,002.82
  6. Step 6: Final answer
    x = 9,240.77

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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.