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Finding the Fourth Proportional to 21,596.49, 32,404.10 and 10,512.81

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Solution

The fourth proportional to 21,596.49, 32,404.10 and 10,512.81 is: 15,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.49 : 32,404.10 = 10,512.81 : x
  2. Step 2: Convert to fraction form
    21,596.49/32,404.10 = 10,512.81/x
  3. Step 3: Cross multiply
    21,596.49x = 32,404.10 × 10,512.81
  4. Step 4: Simplify right side
    21,596.49x = 340,658,093.96
  5. Step 5: Solve for x
    x = 340,658,093.96/21,596.49
  6. Step 6: Final answer
    x = 15,773.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.