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Finding the Fourth Proportional to 20,783.66, 31,168.10 and 6,740.28

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Solution

The fourth proportional to 20,783.66, 31,168.10 and 6,740.28 is: 10,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.66 : 31,168.10 = 6,740.28 : x
  2. Step 2: Convert to fraction form
    20,783.66/31,168.10 = 6,740.28/x
  3. Step 3: Cross multiply
    20,783.66x = 31,168.10 × 6,740.28
  4. Step 4: Simplify right side
    20,783.66x = 210,081,721.07
  5. Step 5: Solve for x
    x = 210,081,721.07/20,783.66
  6. Step 6: Final answer
    x = 10,108.02

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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.