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Finding the Fourth Proportional to 12,097.82, 18,149.45 and 4,702.30

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Solution

The fourth proportional to 12,097.82, 18,149.45 and 4,702.30 is: 7,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.82 : 18,149.45 = 4,702.30 : x
  2. Step 2: Convert to fraction form
    12,097.82/18,149.45 = 4,702.30/x
  3. Step 3: Cross multiply
    12,097.82x = 18,149.45 × 4,702.30
  4. Step 4: Simplify right side
    12,097.82x = 85,344,158.74
  5. Step 5: Solve for x
    x = 85,344,158.74/12,097.82
  6. Step 6: Final answer
    x = 7,054.51

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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.