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Finding the Fourth Proportional to 21,868.56, 32,803.34 and 7,829.54

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Solution

The fourth proportional to 21,868.56, 32,803.34 and 7,829.54 is: 11,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.56 : 32,803.34 = 7,829.54 : x
  2. Step 2: Convert to fraction form
    21,868.56/32,803.34 = 7,829.54/x
  3. Step 3: Cross multiply
    21,868.56x = 32,803.34 × 7,829.54
  4. Step 4: Simplify right side
    21,868.56x = 256,835,062.66
  5. Step 5: Solve for x
    x = 256,835,062.66/21,868.56
  6. Step 6: Final answer
    x = 11,744.49

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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.