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Finding the Fourth Proportional to 23,263.88, 32,092.26 and 13,697

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Solution

The fourth proportional to 23,263.88, 32,092.26 and 13,697 is: 18,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,263.88 : 32,092.26 = 13,697 : x
  2. Step 2: Convert to fraction form
    23,263.88/32,092.26 = 13,697/x
  3. Step 3: Cross multiply
    23,263.88x = 32,092.26 × 13,697
  4. Step 4: Simplify right side
    23,263.88x = 439,567,685.22
  5. Step 5: Solve for x
    x = 439,567,685.22/23,263.88
  6. Step 6: Final answer
    x = 18,894.86

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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.