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Finding the Fourth Proportional to 23,224.32, 32,037.12 and 16,138.44

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Solution

The fourth proportional to 23,224.32, 32,037.12 and 16,138.44 is: 22,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.32 : 32,037.12 = 16,138.44 : x
  2. Step 2: Convert to fraction form
    23,224.32/32,037.12 = 16,138.44/x
  3. Step 3: Cross multiply
    23,224.32x = 32,037.12 × 16,138.44
  4. Step 4: Simplify right side
    23,224.32x = 517,029,138.89
  5. Step 5: Solve for x
    x = 517,029,138.89/23,224.32
  6. Step 6: Final answer
    x = 22,262.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.