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Finding the Fourth Proportional to 16,571, 22,868.16 and 9,119

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Solution

The fourth proportional to 16,571, 22,868.16 and 9,119 is: 12,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571 : 22,868.16 = 9,119 : x
  2. Step 2: Convert to fraction form
    16,571/22,868.16 = 9,119/x
  3. Step 3: Cross multiply
    16,571x = 22,868.16 × 9,119
  4. Step 4: Simplify right side
    16,571x = 208,534,751.04
  5. Step 5: Solve for x
    x = 208,534,751.04/16,571
  6. Step 6: Final answer
    x = 12,584.32

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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.