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Finding the Fourth Proportional to 23,561.50, 32,498.52 and 16,003.60

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Solution

The fourth proportional to 23,561.50, 32,498.52 and 16,003.60 is: 22,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.50 : 32,498.52 = 16,003.60 : x
  2. Step 2: Convert to fraction form
    23,561.50/32,498.52 = 16,003.60/x
  3. Step 3: Cross multiply
    23,561.50x = 32,498.52 × 16,003.60
  4. Step 4: Simplify right side
    23,561.50x = 520,093,314.67
  5. Step 5: Solve for x
    x = 520,093,314.67/23,561.50
  6. Step 6: Final answer
    x = 22,073.86

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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.