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Finding the Fourth Proportional to 23,753.71, 32,777.76 and 13,143.07

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Solution

The fourth proportional to 23,753.71, 32,777.76 and 13,143.07 is: 18,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.71 : 32,777.76 = 13,143.07 : x
  2. Step 2: Convert to fraction form
    23,753.71/32,777.76 = 13,143.07/x
  3. Step 3: Cross multiply
    23,753.71x = 32,777.76 × 13,143.07
  4. Step 4: Simplify right side
    23,753.71x = 430,800,394.12
  5. Step 5: Solve for x
    x = 430,800,394.12/23,753.71
  6. Step 6: Final answer
    x = 18,136.13

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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.