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Finding the Fourth Proportional to 23,307.54, 32,163.42 and 12,697.26

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Solution

The fourth proportional to 23,307.54, 32,163.42 and 12,697.26 is: 17,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307.54 : 32,163.42 = 12,697.26 : x
  2. Step 2: Convert to fraction form
    23,307.54/32,163.42 = 12,697.26/x
  3. Step 3: Cross multiply
    23,307.54x = 32,163.42 × 12,697.26
  4. Step 4: Simplify right side
    23,307.54x = 408,387,306.23
  5. Step 5: Solve for x
    x = 408,387,306.23/23,307.54
  6. Step 6: Final answer
    x = 17,521.68

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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.