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Finding the Fourth Proportional to 23,537.52, 32,481 and 14,099.40

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Solution

The fourth proportional to 23,537.52, 32,481 and 14,099.40 is: 19,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.52 : 32,481 = 14,099.40 : x
  2. Step 2: Convert to fraction form
    23,537.52/32,481 = 14,099.40/x
  3. Step 3: Cross multiply
    23,537.52x = 32,481 × 14,099.40
  4. Step 4: Simplify right side
    23,537.52x = 457,962,611.40
  5. Step 5: Solve for x
    x = 457,962,611.40/23,537.52
  6. Step 6: Final answer
    x = 19,456.71

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1.5x scale

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.