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Finding the Fourth Proportional to 23,813, 32,863.76 and 13,204.68

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Solution

The fourth proportional to 23,813, 32,863.76 and 13,204.68 is: 18,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813 : 32,863.76 = 13,204.68 : x
  2. Step 2: Convert to fraction form
    23,813/32,863.76 = 13,204.68/x
  3. Step 3: Cross multiply
    23,813x = 32,863.76 × 13,204.68
  4. Step 4: Simplify right side
    23,813x = 433,955,434.40
  5. Step 5: Solve for x
    x = 433,955,434.40/23,813
  6. Step 6: Final answer
    x = 18,223.47

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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.