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Finding the Fourth Proportional to 14,902.86, 20,565.99 and 8,188.62

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Solution

The fourth proportional to 14,902.86, 20,565.99 and 8,188.62 is: 11,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.86 : 20,565.99 = 8,188.62 : x
  2. Step 2: Convert to fraction form
    14,902.86/20,565.99 = 8,188.62/x
  3. Step 3: Cross multiply
    14,902.86x = 20,565.99 × 8,188.62
  4. Step 4: Simplify right side
    14,902.86x = 168,407,077.03
  5. Step 5: Solve for x
    x = 168,407,077.03/14,902.86
  6. Step 6: Final answer
    x = 11,300.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.