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Finding the Fourth Proportional to 12,278.56, 16,944.72 and 7,565.92

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Solution

The fourth proportional to 12,278.56, 16,944.72 and 7,565.92 is: 10,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.56 : 16,944.72 = 7,565.92 : x
  2. Step 2: Convert to fraction form
    12,278.56/16,944.72 = 7,565.92/x
  3. Step 3: Cross multiply
    12,278.56x = 16,944.72 × 7,565.92
  4. Step 4: Simplify right side
    12,278.56x = 128,202,395.94
  5. Step 5: Solve for x
    x = 128,202,395.94/12,278.56
  6. Step 6: Final answer
    x = 10,441.16

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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.