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Finding the Fourth Proportional to 16,568.36, 22,864.86 and 9,497

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Solution

The fourth proportional to 16,568.36, 22,864.86 and 9,497 is: 13,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568.36 : 22,864.86 = 9,497 : x
  2. Step 2: Convert to fraction form
    16,568.36/22,864.86 = 9,497/x
  3. Step 3: Cross multiply
    16,568.36x = 22,864.86 × 9,497
  4. Step 4: Simplify right side
    16,568.36x = 217,147,575.42
  5. Step 5: Solve for x
    x = 217,147,575.42/16,568.36
  6. Step 6: Final answer
    x = 13,106.16

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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.