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Finding the Fourth Proportional to 15,709.16, 21,678.09 and 8,635.53

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Solution

The fourth proportional to 15,709.16, 21,678.09 and 8,635.53 is: 11,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.16 : 21,678.09 = 8,635.53 : x
  2. Step 2: Convert to fraction form
    15,709.16/21,678.09 = 8,635.53/x
  3. Step 3: Cross multiply
    15,709.16x = 21,678.09 × 8,635.53
  4. Step 4: Simplify right side
    15,709.16x = 187,201,796.54
  5. Step 5: Solve for x
    x = 187,201,796.54/15,709.16
  6. Step 6: Final answer
    x = 11,916.73

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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.