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Finding the Fourth Proportional to 20,908.58, 31,362.86 and 7,758.34

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Solution

The fourth proportional to 20,908.58, 31,362.86 and 7,758.34 is: 11,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.58 : 31,362.86 = 7,758.34 : x
  2. Step 2: Convert to fraction form
    20,908.58/31,362.86 = 7,758.34/x
  3. Step 3: Cross multiply
    20,908.58x = 31,362.86 × 7,758.34
  4. Step 4: Simplify right side
    20,908.58x = 243,323,672.24
  5. Step 5: Solve for x
    x = 243,323,672.24/20,908.58
  6. Step 6: Final answer
    x = 11,637.51

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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.