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Finding the Fourth Proportional to 19,294.24, 28,941.72 and 6,813.96

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Solution

The fourth proportional to 19,294.24, 28,941.72 and 6,813.96 is: 10,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.24 : 28,941.72 = 6,813.96 : x
  2. Step 2: Convert to fraction form
    19,294.24/28,941.72 = 6,813.96/x
  3. Step 3: Cross multiply
    19,294.24x = 28,941.72 × 6,813.96
  4. Step 4: Simplify right side
    19,294.24x = 197,207,722.41
  5. Step 5: Solve for x
    x = 197,207,722.41/19,294.24
  6. Step 6: Final answer
    x = 10,221.07

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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.