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Finding the Fourth Proportional to 23,529, 32,470.02 and 13,593

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Solution

The fourth proportional to 23,529, 32,470.02 and 13,593 is: 18,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529 : 32,470.02 = 13,593 : x
  2. Step 2: Convert to fraction form
    23,529/32,470.02 = 13,593/x
  3. Step 3: Cross multiply
    23,529x = 32,470.02 × 13,593
  4. Step 4: Simplify right side
    23,529x = 441,364,981.86
  5. Step 5: Solve for x
    x = 441,364,981.86/23,529
  6. Step 6: Final answer
    x = 18,758.34

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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.