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Finding the Fourth Proportional to 15,705.46, 21,673.47 and 8,632.18

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Solution

The fourth proportional to 15,705.46, 21,673.47 and 8,632.18 is: 11,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.46 : 21,673.47 = 8,632.18 : x
  2. Step 2: Convert to fraction form
    15,705.46/21,673.47 = 8,632.18/x
  3. Step 3: Cross multiply
    15,705.46x = 21,673.47 × 8,632.18
  4. Step 4: Simplify right side
    15,705.46x = 187,089,294.26
  5. Step 5: Solve for x
    x = 187,089,294.26/15,705.46
  6. Step 6: Final answer
    x = 11,912.37

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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.