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Finding the Fourth Proportional to 12,267.84, 18,390.52 and 4,471.19

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Solution

The fourth proportional to 12,267.84, 18,390.52 and 4,471.19 is: 6,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.84 : 18,390.52 = 4,471.19 : x
  2. Step 2: Convert to fraction form
    12,267.84/18,390.52 = 4,471.19/x
  3. Step 3: Cross multiply
    12,267.84x = 18,390.52 × 4,471.19
  4. Step 4: Simplify right side
    12,267.84x = 82,227,509.12
  5. Step 5: Solve for x
    x = 82,227,509.12/12,267.84
  6. Step 6: Final answer
    x = 6,702.69

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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.