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Finding the Fourth Proportional to 23,121.86, 34,597.53 and 16,347.42

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Solution

The fourth proportional to 23,121.86, 34,597.53 and 16,347.42 is: 24,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,121.86 : 34,597.53 = 16,347.42 : x
  2. Step 2: Convert to fraction form
    23,121.86/34,597.53 = 16,347.42/x
  3. Step 3: Cross multiply
    23,121.86x = 34,597.53 × 16,347.42
  4. Step 4: Simplify right side
    23,121.86x = 565,580,353.87
  5. Step 5: Solve for x
    x = 565,580,353.87/23,121.86
  6. Step 6: Final answer
    x = 24,460.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.