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Finding the Fourth Proportional to 22,108.50, 30,509.32 and 12,037.16

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Solution

The fourth proportional to 22,108.50, 30,509.32 and 12,037.16 is: 16,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,108.50 : 30,509.32 = 12,037.16 : x
  2. Step 2: Convert to fraction form
    22,108.50/30,509.32 = 12,037.16/x
  3. Step 3: Cross multiply
    22,108.50x = 30,509.32 × 12,037.16
  4. Step 4: Simplify right side
    22,108.50x = 367,245,566.33
  5. Step 5: Solve for x
    x = 367,245,566.33/22,108.50
  6. Step 6: Final answer
    x = 16,611.06

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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.