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Finding the Fourth Proportional to 20,347.70, 30,526.22 and 7,867.82

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Solution

The fourth proportional to 20,347.70, 30,526.22 and 7,867.82 is: 11,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.70 : 30,526.22 = 7,867.82 : x
  2. Step 2: Convert to fraction form
    20,347.70/30,526.22 = 7,867.82/x
  3. Step 3: Cross multiply
    20,347.70x = 30,526.22 × 7,867.82
  4. Step 4: Simplify right side
    20,347.70x = 240,174,804.24
  5. Step 5: Solve for x
    x = 240,174,804.24/20,347.70
  6. Step 6: Final answer
    x = 11,803.54

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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.