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Finding the Fourth Proportional to 21,447.60, 32,171.40 and 6,656.40

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Solution

The fourth proportional to 21,447.60, 32,171.40 and 6,656.40 is: 9,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447.60 : 32,171.40 = 6,656.40 : x
  2. Step 2: Convert to fraction form
    21,447.60/32,171.40 = 6,656.40/x
  3. Step 3: Cross multiply
    21,447.60x = 32,171.40 × 6,656.40
  4. Step 4: Simplify right side
    21,447.60x = 214,145,706.96
  5. Step 5: Solve for x
    x = 214,145,706.96/21,447.60
  6. Step 6: Final answer
    x = 9,984.60

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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.