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Finding the Fourth Proportional to 12,565.68, 18,847.20 and 6,323.14

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Solution

The fourth proportional to 12,565.68, 18,847.20 and 6,323.14 is: 9,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.68 : 18,847.20 = 6,323.14 : x
  2. Step 2: Convert to fraction form
    12,565.68/18,847.20 = 6,323.14/x
  3. Step 3: Cross multiply
    12,565.68x = 18,847.20 × 6,323.14
  4. Step 4: Simplify right side
    12,565.68x = 119,173,484.21
  5. Step 5: Solve for x
    x = 119,173,484.21/12,565.68
  6. Step 6: Final answer
    x = 9,484.05

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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.