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Finding the Fourth Proportional to 12,151.34, 16,769.58 and 8,111.24

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Solution

The fourth proportional to 12,151.34, 16,769.58 and 8,111.24 is: 11,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.34 : 16,769.58 = 8,111.24 : x
  2. Step 2: Convert to fraction form
    12,151.34/16,769.58 = 8,111.24/x
  3. Step 3: Cross multiply
    12,151.34x = 16,769.58 × 8,111.24
  4. Step 4: Simplify right side
    12,151.34x = 136,022,088.08
  5. Step 5: Solve for x
    x = 136,022,088.08/12,151.34
  6. Step 6: Final answer
    x = 11,194.00

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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.