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Finding the Fourth Proportional to 12,358.35, 18,519.18 and 6,497.19

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Solution

The fourth proportional to 12,358.35, 18,519.18 and 6,497.19 is: 9,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.35 : 18,519.18 = 6,497.19 : x
  2. Step 2: Convert to fraction form
    12,358.35/18,519.18 = 6,497.19/x
  3. Step 3: Cross multiply
    12,358.35x = 18,519.18 × 6,497.19
  4. Step 4: Simplify right side
    12,358.35x = 120,322,631.10
  5. Step 5: Solve for x
    x = 120,322,631.10/12,358.35
  6. Step 6: Final answer
    x = 9,736.14

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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.