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Finding the Fourth Proportional to 12,379.68, 18,565.61 and 6,533.10

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Solution

The fourth proportional to 12,379.68, 18,565.61 and 6,533.10 is: 9,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.68 : 18,565.61 = 6,533.10 : x
  2. Step 2: Convert to fraction form
    12,379.68/18,565.61 = 6,533.10/x
  3. Step 3: Cross multiply
    12,379.68x = 18,565.61 × 6,533.10
  4. Step 4: Simplify right side
    12,379.68x = 121,290,954.03
  5. Step 5: Solve for x
    x = 121,290,954.03/12,379.68
  6. Step 6: Final answer
    x = 9,797.58

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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.