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Finding the Fourth Proportional to 25,334.96, 37,989.54 and 8,461.90

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Solution

The fourth proportional to 25,334.96, 37,989.54 and 8,461.90 is: 12,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334.96 : 37,989.54 = 8,461.90 : x
  2. Step 2: Convert to fraction form
    25,334.96/37,989.54 = 8,461.90/x
  3. Step 3: Cross multiply
    25,334.96x = 37,989.54 × 8,461.90
  4. Step 4: Simplify right side
    25,334.96x = 321,463,497.75
  5. Step 5: Solve for x
    x = 321,463,497.75/25,334.96
  6. Step 6: Final answer
    x = 12,688.53

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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.