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Finding the Fourth Proportional to 12,074.28, 16,663.32 and 6,769.32

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Solution

The fourth proportional to 12,074.28, 16,663.32 and 6,769.32 is: 9,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.28 : 16,663.32 = 6,769.32 : x
  2. Step 2: Convert to fraction form
    12,074.28/16,663.32 = 6,769.32/x
  3. Step 3: Cross multiply
    12,074.28x = 16,663.32 × 6,769.32
  4. Step 4: Simplify right side
    12,074.28x = 112,799,345.34
  5. Step 5: Solve for x
    x = 112,799,345.34/12,074.28
  6. Step 6: Final answer
    x = 9,342.12

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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.