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Finding the Fourth Proportional to 20,035.90, 30,055.86 and 6,886.54

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Solution

The fourth proportional to 20,035.90, 30,055.86 and 6,886.54 is: 10,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.90 : 30,055.86 = 6,886.54 : x
  2. Step 2: Convert to fraction form
    20,035.90/30,055.86 = 6,886.54/x
  3. Step 3: Cross multiply
    20,035.90x = 30,055.86 × 6,886.54
  4. Step 4: Simplify right side
    20,035.90x = 206,980,882.12
  5. Step 5: Solve for x
    x = 206,980,882.12/20,035.90
  6. Step 6: Final answer
    x = 10,330.50

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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.