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Finding the Fourth Proportional to 15,466.82, 21,351.75 and 9,499.82

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Solution

The fourth proportional to 15,466.82, 21,351.75 and 9,499.82 is: 13,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,466.82 : 21,351.75 = 9,499.82 : x
  2. Step 2: Convert to fraction form
    15,466.82/21,351.75 = 9,499.82/x
  3. Step 3: Cross multiply
    15,466.82x = 21,351.75 × 9,499.82
  4. Step 4: Simplify right side
    15,466.82x = 202,837,781.69
  5. Step 5: Solve for x
    x = 202,837,781.69/15,466.82
  6. Step 6: Final answer
    x = 13,114.38

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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.