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Finding the Fourth Proportional to 16,564.91, 22,852.04 and 9,846.71

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Solution

The fourth proportional to 16,564.91, 22,852.04 and 9,846.71 is: 13,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.91 : 22,852.04 = 9,846.71 : x
  2. Step 2: Convert to fraction form
    16,564.91/22,852.04 = 9,846.71/x
  3. Step 3: Cross multiply
    16,564.91x = 22,852.04 × 9,846.71
  4. Step 4: Simplify right side
    16,564.91x = 225,017,516.92
  5. Step 5: Solve for x
    x = 225,017,516.92/16,564.91
  6. Step 6: Final answer
    x = 13,583.99

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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.