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Finding the Fourth Proportional to 15,761.82, 21,752.24 and 9,047.46

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Solution

The fourth proportional to 15,761.82, 21,752.24 and 9,047.46 is: 12,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.82 : 21,752.24 = 9,047.46 : x
  2. Step 2: Convert to fraction form
    15,761.82/21,752.24 = 9,047.46/x
  3. Step 3: Cross multiply
    15,761.82x = 21,752.24 × 9,047.46
  4. Step 4: Simplify right side
    15,761.82x = 196,802,476.07
  5. Step 5: Solve for x
    x = 196,802,476.07/15,761.82
  6. Step 6: Final answer
    x = 12,486.02

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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.