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Finding the Fourth Proportional to 19,782.54, 29,673.72 and 8,095.76

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Solution

The fourth proportional to 19,782.54, 29,673.72 and 8,095.76 is: 12,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.54 : 29,673.72 = 8,095.76 : x
  2. Step 2: Convert to fraction form
    19,782.54/29,673.72 = 8,095.76/x
  3. Step 3: Cross multiply
    19,782.54x = 29,673.72 × 8,095.76
  4. Step 4: Simplify right side
    19,782.54x = 240,231,315.43
  5. Step 5: Solve for x
    x = 240,231,315.43/19,782.54
  6. Step 6: Final answer
    x = 12,143.60

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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.