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Finding the Fourth Proportional to 15,986, 22,063.53 and 10,022.78

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Solution

The fourth proportional to 15,986, 22,063.53 and 10,022.78 is: 13,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 22,063.53 = 10,022.78 : x
  2. Step 2: Convert to fraction form
    15,986/22,063.53 = 10,022.78/x
  3. Step 3: Cross multiply
    15,986x = 22,063.53 × 10,022.78
  4. Step 4: Simplify right side
    15,986x = 221,137,907.21
  5. Step 5: Solve for x
    x = 221,137,907.21/15,986
  6. Step 6: Final answer
    x = 13,833.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.