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Finding the Fourth Proportional to 14,782.59, 20,399.16 and 8,408.32

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Solution

The fourth proportional to 14,782.59, 20,399.16 and 8,408.32 is: 11,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.59 : 20,399.16 = 8,408.32 : x
  2. Step 2: Convert to fraction form
    14,782.59/20,399.16 = 8,408.32/x
  3. Step 3: Cross multiply
    14,782.59x = 20,399.16 × 8,408.32
  4. Step 4: Simplify right side
    14,782.59x = 171,522,665.01
  5. Step 5: Solve for x
    x = 171,522,665.01/14,782.59
  6. Step 6: Final answer
    x = 11,603.02

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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.