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Finding the Fourth Proportional to 12,768.12, 19,161.54 and 8,384.04

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Solution

The fourth proportional to 12,768.12, 19,161.54 and 8,384.04 is: 12,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.12 : 19,161.54 = 8,384.04 : x
  2. Step 2: Convert to fraction form
    12,768.12/19,161.54 = 8,384.04/x
  3. Step 3: Cross multiply
    12,768.12x = 19,161.54 × 8,384.04
  4. Step 4: Simplify right side
    12,768.12x = 160,651,117.82
  5. Step 5: Solve for x
    x = 160,651,117.82/12,768.12
  6. Step 6: Final answer
    x = 12,582.21

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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.