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Finding the Fourth Proportional to 14,902.75, 20,565.06 and 8,933.26

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Solution

The fourth proportional to 14,902.75, 20,565.06 and 8,933.26 is: 12,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.75 : 20,565.06 = 8,933.26 : x
  2. Step 2: Convert to fraction form
    14,902.75/20,565.06 = 8,933.26/x
  3. Step 3: Cross multiply
    14,902.75x = 20,565.06 × 8,933.26
  4. Step 4: Simplify right side
    14,902.75x = 183,713,027.90
  5. Step 5: Solve for x
    x = 183,713,027.90/14,902.75
  6. Step 6: Final answer
    x = 12,327.46

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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.