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Finding the Fourth Proportional to 15,765.82, 21,757.76 and 9,051.46

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Solution

The fourth proportional to 15,765.82, 21,757.76 and 9,051.46 is: 12,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.82 : 21,757.76 = 9,051.46 : x
  2. Step 2: Convert to fraction form
    15,765.82/21,757.76 = 9,051.46/x
  3. Step 3: Cross multiply
    15,765.82x = 21,757.76 × 9,051.46
  4. Step 4: Simplify right side
    15,765.82x = 196,939,494.33
  5. Step 5: Solve for x
    x = 196,939,494.33/15,765.82
  6. Step 6: Final answer
    x = 12,491.55

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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.