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Finding the Fourth Proportional to 14,362.33, 19,817.60 and 7,988.09

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Solution

The fourth proportional to 14,362.33, 19,817.60 and 7,988.09 is: 11,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.33 : 19,817.60 = 7,988.09 : x
  2. Step 2: Convert to fraction form
    14,362.33/19,817.60 = 7,988.09/x
  3. Step 3: Cross multiply
    14,362.33x = 19,817.60 × 7,988.09
  4. Step 4: Simplify right side
    14,362.33x = 158,304,772.38
  5. Step 5: Solve for x
    x = 158,304,772.38/14,362.33
  6. Step 6: Final answer
    x = 11,022.22

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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.