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Finding the Fourth Proportional to 20,195.47, 30,294.74 and 6,156.69

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Solution

The fourth proportional to 20,195.47, 30,294.74 and 6,156.69 is: 9,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.47 : 30,294.74 = 6,156.69 : x
  2. Step 2: Convert to fraction form
    20,195.47/30,294.74 = 6,156.69/x
  3. Step 3: Cross multiply
    20,195.47x = 30,294.74 × 6,156.69
  4. Step 4: Simplify right side
    20,195.47x = 186,515,322.81
  5. Step 5: Solve for x
    x = 186,515,322.81/20,195.47
  6. Step 6: Final answer
    x = 9,235.50

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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.