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Finding the Fourth Proportional to 22,302.75, 30,777.77 and 12,871.32

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Solution

The fourth proportional to 22,302.75, 30,777.77 and 12,871.32 is: 17,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.75 : 30,777.77 = 12,871.32 : x
  2. Step 2: Convert to fraction form
    22,302.75/30,777.77 = 12,871.32/x
  3. Step 3: Cross multiply
    22,302.75x = 30,777.77 × 12,871.32
  4. Step 4: Simplify right side
    22,302.75x = 396,150,308.31
  5. Step 5: Solve for x
    x = 396,150,308.31/22,302.75
  6. Step 6: Final answer
    x = 17,762.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.