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Finding the Fourth Proportional to 14,902.48, 20,565.72 and 8,188.16

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Solution

The fourth proportional to 14,902.48, 20,565.72 and 8,188.16 is: 11,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.48 : 20,565.72 = 8,188.16 : x
  2. Step 2: Convert to fraction form
    14,902.48/20,565.72 = 8,188.16/x
  3. Step 3: Cross multiply
    14,902.48x = 20,565.72 × 8,188.16
  4. Step 4: Simplify right side
    14,902.48x = 168,395,405.88
  5. Step 5: Solve for x
    x = 168,395,405.88/14,902.48
  6. Step 6: Final answer
    x = 11,299.82

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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.