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Finding the Fourth Proportional to 14,722.50, 20,317.25 and 8,434.88

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Solution

The fourth proportional to 14,722.50, 20,317.25 and 8,434.88 is: 11,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.50 : 20,317.25 = 8,434.88 : x
  2. Step 2: Convert to fraction form
    14,722.50/20,317.25 = 8,434.88/x
  3. Step 3: Cross multiply
    14,722.50x = 20,317.25 × 8,434.88
  4. Step 4: Simplify right side
    14,722.50x = 171,373,485.18
  5. Step 5: Solve for x
    x = 171,373,485.18/14,722.50
  6. Step 6: Final answer
    x = 11,640.24

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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.