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Finding the Fourth Proportional to 23,812.86, 32,862.51 and 13,203.48

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Solution

The fourth proportional to 23,812.86, 32,862.51 and 13,203.48 is: 18,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.86 : 32,862.51 = 13,203.48 : x
  2. Step 2: Convert to fraction form
    23,812.86/32,862.51 = 13,203.48/x
  3. Step 3: Cross multiply
    23,812.86x = 32,862.51 × 13,203.48
  4. Step 4: Simplify right side
    23,812.86x = 433,899,493.53
  5. Step 5: Solve for x
    x = 433,899,493.53/23,812.86
  6. Step 6: Final answer
    x = 18,221.23

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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.