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Finding the Fourth Proportional to 23,640.32, 35,416.20 and 21,206

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Solution

The fourth proportional to 23,640.32, 35,416.20 and 21,206 is: 31,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640.32 : 35,416.20 = 21,206 : x
  2. Step 2: Convert to fraction form
    23,640.32/35,416.20 = 21,206/x
  3. Step 3: Cross multiply
    23,640.32x = 35,416.20 × 21,206
  4. Step 4: Simplify right side
    23,640.32x = 751,035,937.20
  5. Step 5: Solve for x
    x = 751,035,937.20/23,640.32
  6. Step 6: Final answer
    x = 31,769.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.