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Finding the Fourth Proportional to 23,686.70, 32,686.47 and 13,608

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Solution

The fourth proportional to 23,686.70, 32,686.47 and 13,608 is: 18,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.70 : 32,686.47 = 13,608 : x
  2. Step 2: Convert to fraction form
    23,686.70/32,686.47 = 13,608/x
  3. Step 3: Cross multiply
    23,686.70x = 32,686.47 × 13,608
  4. Step 4: Simplify right side
    23,686.70x = 444,797,483.76
  5. Step 5: Solve for x
    x = 444,797,483.76/23,686.70
  6. Step 6: Final answer
    x = 18,778.37

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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.