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Finding the Fourth Proportional to 16,382.17, 22,606.23 and 9,667.45

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Solution

The fourth proportional to 16,382.17, 22,606.23 and 9,667.45 is: 13,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.17 : 22,606.23 = 9,667.45 : x
  2. Step 2: Convert to fraction form
    16,382.17/22,606.23 = 9,667.45/x
  3. Step 3: Cross multiply
    16,382.17x = 22,606.23 × 9,667.45
  4. Step 4: Simplify right side
    16,382.17x = 218,544,598.21
  5. Step 5: Solve for x
    x = 218,544,598.21/16,382.17
  6. Step 6: Final answer
    x = 13,340.39

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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.