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Finding the Fourth Proportional to 20,867.72, 31,301.63 and 6,077.00

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Solution

The fourth proportional to 20,867.72, 31,301.63 and 6,077.00 is: 9,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.72 : 31,301.63 = 6,077.00 : x
  2. Step 2: Convert to fraction form
    20,867.72/31,301.63 = 6,077.00/x
  3. Step 3: Cross multiply
    20,867.72x = 31,301.63 × 6,077.00
  4. Step 4: Simplify right side
    20,867.72x = 190,219,818.62
  5. Step 5: Solve for x
    x = 190,219,818.62/20,867.72
  6. Step 6: Final answer
    x = 9,115.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.