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Finding the Fourth Proportional to 20,005.54, 30,001.11 and 6,854.38

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Solution

The fourth proportional to 20,005.54, 30,001.11 and 6,854.38 is: 10,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.54 : 30,001.11 = 6,854.38 : x
  2. Step 2: Convert to fraction form
    20,005.54/30,001.11 = 6,854.38/x
  3. Step 3: Cross multiply
    20,005.54x = 30,001.11 × 6,854.38
  4. Step 4: Simplify right side
    20,005.54x = 205,639,008.36
  5. Step 5: Solve for x
    x = 205,639,008.36/20,005.54
  6. Step 6: Final answer
    x = 10,279.10

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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.