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Finding the Fourth Proportional to 21,251.58, 31,877.34 and 6,460.56

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Solution

The fourth proportional to 21,251.58, 31,877.34 and 6,460.56 is: 9,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.58 : 31,877.34 = 6,460.56 : x
  2. Step 2: Convert to fraction form
    21,251.58/31,877.34 = 6,460.56/x
  3. Step 3: Cross multiply
    21,251.58x = 31,877.34 × 6,460.56
  4. Step 4: Simplify right side
    21,251.58x = 205,945,467.71
  5. Step 5: Solve for x
    x = 205,945,467.71/21,251.58
  6. Step 6: Final answer
    x = 9,690.83

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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.