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Finding the Fourth Proportional to 12,097.21, 18,148.38 and 4,306

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Solution

The fourth proportional to 12,097.21, 18,148.38 and 4,306 is: 6,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.21 : 18,148.38 = 4,306 : x
  2. Step 2: Convert to fraction form
    12,097.21/18,148.38 = 4,306/x
  3. Step 3: Cross multiply
    12,097.21x = 18,148.38 × 4,306
  4. Step 4: Simplify right side
    12,097.21x = 78,146,924.28
  5. Step 5: Solve for x
    x = 78,146,924.28/12,097.21
  6. Step 6: Final answer
    x = 6,459.91

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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.