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Finding the Fourth Proportional to 14,593.78, 21,895.84 and 7,203.43

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Solution

The fourth proportional to 14,593.78, 21,895.84 and 7,203.43 is: 10,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.78 : 21,895.84 = 7,203.43 : x
  2. Step 2: Convert to fraction form
    14,593.78/21,895.84 = 7,203.43/x
  3. Step 3: Cross multiply
    14,593.78x = 21,895.84 × 7,203.43
  4. Step 4: Simplify right side
    14,593.78x = 157,725,063.94
  5. Step 5: Solve for x
    x = 157,725,063.94/14,593.78
  6. Step 6: Final answer
    x = 10,807.69

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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.