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Finding the Fourth Proportional to 15,896.75, 21,938.54 and 9,182.66

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Solution

The fourth proportional to 15,896.75, 21,938.54 and 9,182.66 is: 12,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.75 : 21,938.54 = 9,182.66 : x
  2. Step 2: Convert to fraction form
    15,896.75/21,938.54 = 9,182.66/x
  3. Step 3: Cross multiply
    15,896.75x = 21,938.54 × 9,182.66
  4. Step 4: Simplify right side
    15,896.75x = 201,453,998.11
  5. Step 5: Solve for x
    x = 201,453,998.11/15,896.75
  6. Step 6: Final answer
    x = 12,672.66

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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.