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Finding the Fourth Proportional to 12,182.99, 16,809.67 and 7,146.95

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Solution

The fourth proportional to 12,182.99, 16,809.67 and 7,146.95 is: 9,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.99 : 16,809.67 = 7,146.95 : x
  2. Step 2: Convert to fraction form
    12,182.99/16,809.67 = 7,146.95/x
  3. Step 3: Cross multiply
    12,182.99x = 16,809.67 × 7,146.95
  4. Step 4: Simplify right side
    12,182.99x = 120,137,871.01
  5. Step 5: Solve for x
    x = 120,137,871.01/12,182.99
  6. Step 6: Final answer
    x = 9,861.12

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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.