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Finding the Fourth Proportional to 20,967.15, 31,449.71 and 7,818.50

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Solution

The fourth proportional to 20,967.15, 31,449.71 and 7,818.50 is: 11,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.15 : 31,449.71 = 7,818.50 : x
  2. Step 2: Convert to fraction form
    20,967.15/31,449.71 = 7,818.50/x
  3. Step 3: Cross multiply
    20,967.15x = 31,449.71 × 7,818.50
  4. Step 4: Simplify right side
    20,967.15x = 245,889,655.81
  5. Step 5: Solve for x
    x = 245,889,655.81/20,967.15
  6. Step 6: Final answer
    x = 11,727.37

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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.