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Finding the Fourth Proportional to 21,343.60, 32,015.10 and 9,656.80

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Solution

The fourth proportional to 21,343.60, 32,015.10 and 9,656.80 is: 14,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.60 : 32,015.10 = 9,656.80 : x
  2. Step 2: Convert to fraction form
    21,343.60/32,015.10 = 9,656.80/x
  3. Step 3: Cross multiply
    21,343.60x = 32,015.10 × 9,656.80
  4. Step 4: Simplify right side
    21,343.60x = 309,163,417.68
  5. Step 5: Solve for x
    x = 309,163,417.68/21,343.60
  6. Step 6: Final answer
    x = 14,485.06

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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.