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Finding the Fourth Proportional to 21,967.42, 32,956.35 and 7,176.32

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Solution

The fourth proportional to 21,967.42, 32,956.35 and 7,176.32 is: 10,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.42 : 32,956.35 = 7,176.32 : x
  2. Step 2: Convert to fraction form
    21,967.42/32,956.35 = 7,176.32/x
  3. Step 3: Cross multiply
    21,967.42x = 32,956.35 × 7,176.32
  4. Step 4: Simplify right side
    21,967.42x = 236,505,313.63
  5. Step 5: Solve for x
    x = 236,505,313.63/21,967.42
  6. Step 6: Final answer
    x = 10,766.19

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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.