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Finding the Fourth Proportional to 12,680.37, 19,024.65 and 6,107.04

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Solution

The fourth proportional to 12,680.37, 19,024.65 and 6,107.04 is: 9,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.37 : 19,024.65 = 6,107.04 : x
  2. Step 2: Convert to fraction form
    12,680.37/19,024.65 = 6,107.04/x
  3. Step 3: Cross multiply
    12,680.37x = 19,024.65 × 6,107.04
  4. Step 4: Simplify right side
    12,680.37x = 116,184,298.54
  5. Step 5: Solve for x
    x = 116,184,298.54/12,680.37
  6. Step 6: Final answer
    x = 9,162.53

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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.