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Finding the Fourth Proportional to 16,356, 22,574.22 and 9,641.22

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Solution

The fourth proportional to 16,356, 22,574.22 and 9,641.22 is: 13,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356 : 22,574.22 = 9,641.22 : x
  2. Step 2: Convert to fraction form
    16,356/22,574.22 = 9,641.22/x
  3. Step 3: Cross multiply
    16,356x = 22,574.22 × 9,641.22
  4. Step 4: Simplify right side
    16,356x = 217,643,021.35
  5. Step 5: Solve for x
    x = 217,643,021.35/16,356
  6. Step 6: Final answer
    x = 13,306.62

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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.