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Finding the Fourth Proportional to 14,902.02, 20,565.12 and 8,188.05

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Solution

The fourth proportional to 14,902.02, 20,565.12 and 8,188.05 is: 11,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.02 : 20,565.12 = 8,188.05 : x
  2. Step 2: Convert to fraction form
    14,902.02/20,565.12 = 8,188.05/x
  3. Step 3: Cross multiply
    14,902.02x = 20,565.12 × 8,188.05
  4. Step 4: Simplify right side
    14,902.02x = 168,388,230.82
  5. Step 5: Solve for x
    x = 168,388,230.82/14,902.02
  6. Step 6: Final answer
    x = 11,299.69

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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.