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Finding the Fourth Proportional to 19,296.50, 28,948.22 and 6,823.77

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Solution

The fourth proportional to 19,296.50, 28,948.22 and 6,823.77 is: 10,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296.50 : 28,948.22 = 6,823.77 : x
  2. Step 2: Convert to fraction form
    19,296.50/28,948.22 = 6,823.77/x
  3. Step 3: Cross multiply
    19,296.50x = 28,948.22 × 6,823.77
  4. Step 4: Simplify right side
    19,296.50x = 197,535,995.19
  5. Step 5: Solve for x
    x = 197,535,995.19/19,296.50
  6. Step 6: Final answer
    x = 10,236.88

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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.