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Finding the Fourth Proportional to 25,580.56, 38,351.40 and 21,226

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Solution

The fourth proportional to 25,580.56, 38,351.40 and 21,226 is: 31,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580.56 : 38,351.40 = 21,226 : x
  2. Step 2: Convert to fraction form
    25,580.56/38,351.40 = 21,226/x
  3. Step 3: Cross multiply
    25,580.56x = 38,351.40 × 21,226
  4. Step 4: Simplify right side
    25,580.56x = 814,046,816.40
  5. Step 5: Solve for x
    x = 814,046,816.40/25,580.56
  6. Step 6: Final answer
    x = 31,822.87

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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.