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Finding the Fourth Proportional to 23,200, 32,016 and 13,269.76

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Solution

The fourth proportional to 23,200, 32,016 and 13,269.76 is: 18,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200 : 32,016 = 13,269.76 : x
  2. Step 2: Convert to fraction form
    23,200/32,016 = 13,269.76/x
  3. Step 3: Cross multiply
    23,200x = 32,016 × 13,269.76
  4. Step 4: Simplify right side
    23,200x = 424,844,636.16
  5. Step 5: Solve for x
    x = 424,844,636.16/23,200
  6. Step 6: Final answer
    x = 18,312.27

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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.