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Finding the Fourth Proportional to 20,914.08, 31,364.16 and 8,430.88

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Solution

The fourth proportional to 20,914.08, 31,364.16 and 8,430.88 is: 12,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.08 : 31,364.16 = 8,430.88 : x
  2. Step 2: Convert to fraction form
    20,914.08/31,364.16 = 8,430.88/x
  3. Step 3: Cross multiply
    20,914.08x = 31,364.16 × 8,430.88
  4. Step 4: Simplify right side
    20,914.08x = 264,427,469.26
  5. Step 5: Solve for x
    x = 264,427,469.26/20,914.08
  6. Step 6: Final answer
    x = 12,643.51

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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.