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Finding the Fourth Proportional to 20,001.76, 29,984.11 and 6,851.00

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Solution

The fourth proportional to 20,001.76, 29,984.11 and 6,851.00 is: 10,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.76 : 29,984.11 = 6,851.00 : x
  2. Step 2: Convert to fraction form
    20,001.76/29,984.11 = 6,851.00/x
  3. Step 3: Cross multiply
    20,001.76x = 29,984.11 × 6,851.00
  4. Step 4: Simplify right side
    20,001.76x = 205,421,195.44
  5. Step 5: Solve for x
    x = 205,421,195.44/20,001.76
  6. Step 6: Final answer
    x = 10,270.16

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Why These Related Problems?

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