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Finding the Fourth Proportional to 15,708.65, 21,677.96 and 8,635.07

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Solution

The fourth proportional to 15,708.65, 21,677.96 and 8,635.07 is: 11,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.65 : 21,677.96 = 8,635.07 : x
  2. Step 2: Convert to fraction form
    15,708.65/21,677.96 = 8,635.07/x
  3. Step 3: Cross multiply
    15,708.65x = 21,677.96 × 8,635.07
  4. Step 4: Simplify right side
    15,708.65x = 187,190,777.84
  5. Step 5: Solve for x
    x = 187,190,777.84/15,708.65
  6. Step 6: Final answer
    x = 11,916.41

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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.