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Finding the Fourth Proportional to 16,564.84, 22,864.61 and 10,193.38

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Solution

The fourth proportional to 16,564.84, 22,864.61 and 10,193.38 is: 14,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.84 : 22,864.61 = 10,193.38 : x
  2. Step 2: Convert to fraction form
    16,564.84/22,864.61 = 10,193.38/x
  3. Step 3: Cross multiply
    16,564.84x = 22,864.61 × 10,193.38
  4. Step 4: Simplify right side
    16,564.84x = 233,067,626.60
  5. Step 5: Solve for x
    x = 233,067,626.60/16,564.84
  6. Step 6: Final answer
    x = 14,070.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.