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Finding the Fourth Proportional to 21,968.42, 32,957.85 and 7,177.32

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Solution

The fourth proportional to 21,968.42, 32,957.85 and 7,177.32 is: 10,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.42 : 32,957.85 = 7,177.32 : x
  2. Step 2: Convert to fraction form
    21,968.42/32,957.85 = 7,177.32/x
  3. Step 3: Cross multiply
    21,968.42x = 32,957.85 × 7,177.32
  4. Step 4: Simplify right side
    21,968.42x = 236,549,035.96
  5. Step 5: Solve for x
    x = 236,549,035.96/21,968.42
  6. Step 6: Final answer
    x = 10,767.69

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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.