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Finding the Fourth Proportional to 23,838.71, 32,897.34 and 13,229.33

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Solution

The fourth proportional to 23,838.71, 32,897.34 and 13,229.33 is: 18,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.71 : 32,897.34 = 13,229.33 : x
  2. Step 2: Convert to fraction form
    23,838.71/32,897.34 = 13,229.33/x
  3. Step 3: Cross multiply
    23,838.71x = 32,897.34 × 13,229.33
  4. Step 4: Simplify right side
    23,838.71x = 435,209,602.50
  5. Step 5: Solve for x
    x = 435,209,602.50/23,838.71
  6. Step 6: Final answer
    x = 18,256.43

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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.