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Finding the Fourth Proportional to 13,477.16, 20,188.20 and 8,529.14

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Solution

The fourth proportional to 13,477.16, 20,188.20 and 8,529.14 is: 12,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.16 : 20,188.20 = 8,529.14 : x
  2. Step 2: Convert to fraction form
    13,477.16/20,188.20 = 8,529.14/x
  3. Step 3: Cross multiply
    13,477.16x = 20,188.20 × 8,529.14
  4. Step 4: Simplify right side
    13,477.16x = 172,187,984.15
  5. Step 5: Solve for x
    x = 172,187,984.15/13,477.16
  6. Step 6: Final answer
    x = 12,776.28

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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.