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Finding the Fourth Proportional to 21,656.60, 32,447.93 and 11,778.24

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Solution

The fourth proportional to 21,656.60, 32,447.93 and 11,778.24 is: 17,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.60 : 32,447.93 = 11,778.24 : x
  2. Step 2: Convert to fraction form
    21,656.60/32,447.93 = 11,778.24/x
  3. Step 3: Cross multiply
    21,656.60x = 32,447.93 × 11,778.24
  4. Step 4: Simplify right side
    21,656.60x = 382,179,448.15
  5. Step 5: Solve for x
    x = 382,179,448.15/21,656.60
  6. Step 6: Final answer
    x = 17,647.25

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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.