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Finding the Fourth Proportional to 21,592.96, 32,401.84 and 9,112

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Solution

The fourth proportional to 21,592.96, 32,401.84 and 9,112 is: 13,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,592.96 : 32,401.84 = 9,112 : x
  2. Step 2: Convert to fraction form
    21,592.96/32,401.84 = 9,112/x
  3. Step 3: Cross multiply
    21,592.96x = 32,401.84 × 9,112
  4. Step 4: Simplify right side
    21,592.96x = 295,245,566.08
  5. Step 5: Solve for x
    x = 295,245,566.08/21,592.96
  6. Step 6: Final answer
    x = 13,673.23

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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.