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Finding the Fourth Proportional to 12,330.14, 18,496.11 and 3,565.10

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Solution

The fourth proportional to 12,330.14, 18,496.11 and 3,565.10 is: 5,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.14 : 18,496.11 = 3,565.10 : x
  2. Step 2: Convert to fraction form
    12,330.14/18,496.11 = 3,565.10/x
  3. Step 3: Cross multiply
    12,330.14x = 18,496.11 × 3,565.10
  4. Step 4: Simplify right side
    12,330.14x = 65,940,481.76
  5. Step 5: Solve for x
    x = 65,940,481.76/12,330.14
  6. Step 6: Final answer
    x = 5,347.91

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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.