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Finding the Fourth Proportional to 15,765.75, 21,757.01 and 10,186.47

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Solution

The fourth proportional to 15,765.75, 21,757.01 and 10,186.47 is: 14,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.75 : 21,757.01 = 10,186.47 : x
  2. Step 2: Convert to fraction form
    15,765.75/21,757.01 = 10,186.47/x
  3. Step 3: Cross multiply
    15,765.75x = 21,757.01 × 10,186.47
  4. Step 4: Simplify right side
    15,765.75x = 221,627,078.72
  5. Step 5: Solve for x
    x = 221,627,078.72/15,765.75
  6. Step 6: Final answer
    x = 14,057.50

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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.