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Finding the Fourth Proportional to 16,564.86, 22,859.46 and 9,011.16

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Solution

The fourth proportional to 16,564.86, 22,859.46 and 9,011.16 is: 12,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.86 : 22,859.46 = 9,011.16 : x
  2. Step 2: Convert to fraction form
    16,564.86/22,859.46 = 9,011.16/x
  3. Step 3: Cross multiply
    16,564.86x = 22,859.46 × 9,011.16
  4. Step 4: Simplify right side
    16,564.86x = 205,990,251.57
  5. Step 5: Solve for x
    x = 205,990,251.57/16,564.86
  6. Step 6: Final answer
    x = 12,435.38

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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.