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Finding the Fourth Proportional to 12,071.46, 18,097.44 and 4,672.14

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Solution

The fourth proportional to 12,071.46, 18,097.44 and 4,672.14 is: 7,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.46 : 18,097.44 = 4,672.14 : x
  2. Step 2: Convert to fraction form
    12,071.46/18,097.44 = 4,672.14/x
  3. Step 3: Cross multiply
    12,071.46x = 18,097.44 × 4,672.14
  4. Step 4: Simplify right side
    12,071.46x = 84,553,773.32
  5. Step 5: Solve for x
    x = 84,553,773.32/12,071.46
  6. Step 6: Final answer
    x = 7,004.44

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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.