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Finding the Fourth Proportional to 21,486.96, 32,230.56 and 9,792

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Solution

The fourth proportional to 21,486.96, 32,230.56 and 9,792 is: 14,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.96 : 32,230.56 = 9,792 : x
  2. Step 2: Convert to fraction form
    21,486.96/32,230.56 = 9,792/x
  3. Step 3: Cross multiply
    21,486.96x = 32,230.56 × 9,792
  4. Step 4: Simplify right side
    21,486.96x = 315,601,643.52
  5. Step 5: Solve for x
    x = 315,601,643.52/21,486.96
  6. Step 6: Final answer
    x = 14,688.05

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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.