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Finding the Fourth Proportional to 21,493.70, 32,246.96 and 10,257.48

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Solution

The fourth proportional to 21,493.70, 32,246.96 and 10,257.48 is: 15,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.70 : 32,246.96 = 10,257.48 : x
  2. Step 2: Convert to fraction form
    21,493.70/32,246.96 = 10,257.48/x
  3. Step 3: Cross multiply
    21,493.70x = 32,246.96 × 10,257.48
  4. Step 4: Simplify right side
    21,493.70x = 330,772,334.74
  5. Step 5: Solve for x
    x = 330,772,334.74/21,493.70
  6. Step 6: Final answer
    x = 15,389.27

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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.