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Finding the Fourth Proportional to 23,350, 32,223 and 14,966.52

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Solution

The fourth proportional to 23,350, 32,223 and 14,966.52 is: 20,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,350 : 32,223 = 14,966.52 : x
  2. Step 2: Convert to fraction form
    23,350/32,223 = 14,966.52/x
  3. Step 3: Cross multiply
    23,350x = 32,223 × 14,966.52
  4. Step 4: Simplify right side
    23,350x = 482,266,173.96
  5. Step 5: Solve for x
    x = 482,266,173.96/23,350
  6. Step 6: Final answer
    x = 20,653.80

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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.