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Finding the Fourth Proportional to 16,681.26, 23,019.62 and 9,965.38

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Solution

The fourth proportional to 16,681.26, 23,019.62 and 9,965.38 is: 13,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.26 : 23,019.62 = 9,965.38 : x
  2. Step 2: Convert to fraction form
    16,681.26/23,019.62 = 9,965.38/x
  3. Step 3: Cross multiply
    16,681.26x = 23,019.62 × 9,965.38
  4. Step 4: Simplify right side
    16,681.26x = 229,399,260.76
  5. Step 5: Solve for x
    x = 229,399,260.76/16,681.26
  6. Step 6: Final answer
    x = 13,751.91

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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.