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Finding the Fourth Proportional to 20,548.32, 30,822.08 and 4,965.76

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Solution

The fourth proportional to 20,548.32, 30,822.08 and 4,965.76 is: 7,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.32 : 30,822.08 = 4,965.76 : x
  2. Step 2: Convert to fraction form
    20,548.32/30,822.08 = 4,965.76/x
  3. Step 3: Cross multiply
    20,548.32x = 30,822.08 × 4,965.76
  4. Step 4: Simplify right side
    20,548.32x = 153,055,051.98
  5. Step 5: Solve for x
    x = 153,055,051.98/20,548.32
  6. Step 6: Final answer
    x = 7,448.54

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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.