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Finding the Fourth Proportional to 21,406.96, 32,102.12 and 7,364.32

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Solution

The fourth proportional to 21,406.96, 32,102.12 and 7,364.32 is: 11,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.96 : 32,102.12 = 7,364.32 : x
  2. Step 2: Convert to fraction form
    21,406.96/32,102.12 = 7,364.32/x
  3. Step 3: Cross multiply
    21,406.96x = 32,102.12 × 7,364.32
  4. Step 4: Simplify right side
    21,406.96x = 236,410,284.36
  5. Step 5: Solve for x
    x = 236,410,284.36/21,406.96
  6. Step 6: Final answer
    x = 11,043.62

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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.