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Finding the Fourth Proportional to 19,133.96, 28,703.82 and 6,821

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Solution

The fourth proportional to 19,133.96, 28,703.82 and 6,821 is: 10,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,133.96 : 28,703.82 = 6,821 : x
  2. Step 2: Convert to fraction form
    19,133.96/28,703.82 = 6,821/x
  3. Step 3: Cross multiply
    19,133.96x = 28,703.82 × 6,821
  4. Step 4: Simplify right side
    19,133.96x = 195,788,756.22
  5. Step 5: Solve for x
    x = 195,788,756.22/19,133.96
  6. Step 6: Final answer
    x = 10,232.53

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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.