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Finding the Fourth Proportional to 16,066.40, 22,172.46 and 8,896.28

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Solution

The fourth proportional to 16,066.40, 22,172.46 and 8,896.28 is: 12,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066.40 : 22,172.46 = 8,896.28 : x
  2. Step 2: Convert to fraction form
    16,066.40/22,172.46 = 8,896.28/x
  3. Step 3: Cross multiply
    16,066.40x = 22,172.46 × 8,896.28
  4. Step 4: Simplify right side
    16,066.40x = 197,252,412.45
  5. Step 5: Solve for x
    x = 197,252,412.45/16,066.40
  6. Step 6: Final answer
    x = 12,277.32

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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.