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Finding the Fourth Proportional to 13,965.66, 20,943.81 and 7,387.98

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Solution

The fourth proportional to 13,965.66, 20,943.81 and 7,387.98 is: 11,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.66 : 20,943.81 = 7,387.98 : x
  2. Step 2: Convert to fraction form
    13,965.66/20,943.81 = 7,387.98/x
  3. Step 3: Cross multiply
    13,965.66x = 20,943.81 × 7,387.98
  4. Step 4: Simplify right side
    13,965.66x = 154,732,449.40
  5. Step 5: Solve for x
    x = 154,732,449.40/13,965.66
  6. Step 6: Final answer
    x = 11,079.49

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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.