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Finding the Fourth Proportional to 19,306.60, 28,960.44 and 6,824.86

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Solution

The fourth proportional to 19,306.60, 28,960.44 and 6,824.86 is: 10,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306.60 : 28,960.44 = 6,824.86 : x
  2. Step 2: Convert to fraction form
    19,306.60/28,960.44 = 6,824.86/x
  3. Step 3: Cross multiply
    19,306.60x = 28,960.44 × 6,824.86
  4. Step 4: Simplify right side
    19,306.60x = 197,650,948.54
  5. Step 5: Solve for x
    x = 197,650,948.54/19,306.60
  6. Step 6: Final answer
    x = 10,237.48

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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.