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Finding the Fourth Proportional to 20,892.36, 31,345.02 and 6,852.50

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Solution

The fourth proportional to 20,892.36, 31,345.02 and 6,852.50 is: 10,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.36 : 31,345.02 = 6,852.50 : x
  2. Step 2: Convert to fraction form
    20,892.36/31,345.02 = 6,852.50/x
  3. Step 3: Cross multiply
    20,892.36x = 31,345.02 × 6,852.50
  4. Step 4: Simplify right side
    20,892.36x = 214,791,749.55
  5. Step 5: Solve for x
    x = 214,791,749.55/20,892.36
  6. Step 6: Final answer
    x = 10,280.88

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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.