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Finding the Fourth Proportional to 16,278.65, 22,468.92 and 9,568.77

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Solution

The fourth proportional to 16,278.65, 22,468.92 and 9,568.77 is: 13,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.65 : 22,468.92 = 9,568.77 : x
  2. Step 2: Convert to fraction form
    16,278.65/22,468.92 = 9,568.77/x
  3. Step 3: Cross multiply
    16,278.65x = 22,468.92 × 9,568.77
  4. Step 4: Simplify right side
    16,278.65x = 214,999,943.75
  5. Step 5: Solve for x
    x = 214,999,943.75/16,278.65
  6. Step 6: Final answer
    x = 13,207.48

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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.