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Finding the Fourth Proportional to 16,565.72, 22,851.97 and 9,846.56

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Solution

The fourth proportional to 16,565.72, 22,851.97 and 9,846.56 is: 13,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.72 : 22,851.97 = 9,846.56 : x
  2. Step 2: Convert to fraction form
    16,565.72/22,851.97 = 9,846.56/x
  3. Step 3: Cross multiply
    16,565.72x = 22,851.97 × 9,846.56
  4. Step 4: Simplify right side
    16,565.72x = 225,013,381.62
  5. Step 5: Solve for x
    x = 225,013,381.62/16,565.72
  6. Step 6: Final answer
    x = 13,583.08

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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.