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Finding the Fourth Proportional to 12,097.70, 18,146.55 and 4,307.30

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Solution

The fourth proportional to 12,097.70, 18,146.55 and 4,307.30 is: 6,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.70 : 18,146.55 = 4,307.30 : x
  2. Step 2: Convert to fraction form
    12,097.70/18,146.55 = 4,307.30/x
  3. Step 3: Cross multiply
    12,097.70x = 18,146.55 × 4,307.30
  4. Step 4: Simplify right side
    12,097.70x = 78,162,634.82
  5. Step 5: Solve for x
    x = 78,162,634.82/12,097.70
  6. Step 6: Final answer
    x = 6,460.95

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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.