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Finding the Fourth Proportional to 14,214.66, 19,616.49 and 7,926.36

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Solution

The fourth proportional to 14,214.66, 19,616.49 and 7,926.36 is: 10,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.66 : 19,616.49 = 7,926.36 : x
  2. Step 2: Convert to fraction form
    14,214.66/19,616.49 = 7,926.36/x
  3. Step 3: Cross multiply
    14,214.66x = 19,616.49 × 7,926.36
  4. Step 4: Simplify right side
    14,214.66x = 155,487,361.68
  5. Step 5: Solve for x
    x = 155,487,361.68/14,214.66
  6. Step 6: Final answer
    x = 10,938.52

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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.