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Finding the Fourth Proportional to 12,032.67, 18,056.30 and 5,107.17

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Solution

The fourth proportional to 12,032.67, 18,056.30 and 5,107.17 is: 7,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.67 : 18,056.30 = 5,107.17 : x
  2. Step 2: Convert to fraction form
    12,032.67/18,056.30 = 5,107.17/x
  3. Step 3: Cross multiply
    12,032.67x = 18,056.30 × 5,107.17
  4. Step 4: Simplify right side
    12,032.67x = 92,216,621.14
  5. Step 5: Solve for x
    x = 92,216,621.14/12,032.67
  6. Step 6: Final answer
    x = 7,663.85

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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.