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Finding the Fourth Proportional to 23,785.40, 32,792.73 and 20,463.89

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Solution

The fourth proportional to 23,785.40, 32,792.73 and 20,463.89 is: 28,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.40 : 32,792.73 = 20,463.89 : x
  2. Step 2: Convert to fraction form
    23,785.40/32,792.73 = 20,463.89/x
  3. Step 3: Cross multiply
    23,785.40x = 32,792.73 × 20,463.89
  4. Step 4: Simplify right side
    23,785.40x = 671,066,819.52
  5. Step 5: Solve for x
    x = 671,066,819.52/23,785.40
  6. Step 6: Final answer
    x = 28,213.39

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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.