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Finding the Fourth Proportional to 13,966.70, 19,274.38 and 7,593.66

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Solution

The fourth proportional to 13,966.70, 19,274.38 and 7,593.66 is: 10,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.70 : 19,274.38 = 7,593.66 : x
  2. Step 2: Convert to fraction form
    13,966.70/19,274.38 = 7,593.66/x
  3. Step 3: Cross multiply
    13,966.70x = 19,274.38 × 7,593.66
  4. Step 4: Simplify right side
    13,966.70x = 146,363,069.45
  5. Step 5: Solve for x
    x = 146,363,069.45/13,966.70
  6. Step 6: Final answer
    x = 10,479.43

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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.