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Finding the Fourth Proportional to 21,702, 32,552.97 and 14,252.59

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Solution

The fourth proportional to 21,702, 32,552.97 and 14,252.59 is: 21,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702 : 32,552.97 = 14,252.59 : x
  2. Step 2: Convert to fraction form
    21,702/32,552.97 = 14,252.59/x
  3. Step 3: Cross multiply
    21,702x = 32,552.97 × 14,252.59
  4. Step 4: Simplify right side
    21,702x = 463,964,053.31
  5. Step 5: Solve for x
    x = 463,964,053.31/21,702
  6. Step 6: Final answer
    x = 21,378.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.