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Finding the Fourth Proportional to 15,839.46, 21,844.98 and 9,782.38

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Solution

The fourth proportional to 15,839.46, 21,844.98 and 9,782.38 is: 13,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.46 : 21,844.98 = 9,782.38 : x
  2. Step 2: Convert to fraction form
    15,839.46/21,844.98 = 9,782.38/x
  3. Step 3: Cross multiply
    15,839.46x = 21,844.98 × 9,782.38
  4. Step 4: Simplify right side
    15,839.46x = 213,695,895.45
  5. Step 5: Solve for x
    x = 213,695,895.45/15,839.46
  6. Step 6: Final answer
    x = 13,491.36

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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.