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Finding the Fourth Proportional to 23,802, 32,846.76 and 14,372.88

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Solution

The fourth proportional to 23,802, 32,846.76 and 14,372.88 is: 19,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802 : 32,846.76 = 14,372.88 : x
  2. Step 2: Convert to fraction form
    23,802/32,846.76 = 14,372.88/x
  3. Step 3: Cross multiply
    23,802x = 32,846.76 × 14,372.88
  4. Step 4: Simplify right side
    23,802x = 472,102,539.87
  5. Step 5: Solve for x
    x = 472,102,539.87/23,802
  6. Step 6: Final answer
    x = 19,834.57

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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.