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Finding the Fourth Proportional to 12,953.92, 19,402.80 and 8,024.80

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Solution

The fourth proportional to 12,953.92, 19,402.80 and 8,024.80 is: 12,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.92 : 19,402.80 = 8,024.80 : x
  2. Step 2: Convert to fraction form
    12,953.92/19,402.80 = 8,024.80/x
  3. Step 3: Cross multiply
    12,953.92x = 19,402.80 × 8,024.80
  4. Step 4: Simplify right side
    12,953.92x = 155,703,589.44
  5. Step 5: Solve for x
    x = 155,703,589.44/12,953.92
  6. Step 6: Final answer
    x = 12,019.80

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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.