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Finding the Fourth Proportional to 15,683.63, 21,644.42 and 8,971.56

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Solution

The fourth proportional to 15,683.63, 21,644.42 and 8,971.56 is: 12,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.63 : 21,644.42 = 8,971.56 : x
  2. Step 2: Convert to fraction form
    15,683.63/21,644.42 = 8,971.56/x
  3. Step 3: Cross multiply
    15,683.63x = 21,644.42 × 8,971.56
  4. Step 4: Simplify right side
    15,683.63x = 194,184,167.84
  5. Step 5: Solve for x
    x = 194,184,167.84/15,683.63
  6. Step 6: Final answer
    x = 12,381.33

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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.