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Finding the Fourth Proportional to 16,825.21, 25,237.81 and 8,493.76

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Solution

The fourth proportional to 16,825.21, 25,237.81 and 8,493.76 is: 12,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.21 : 25,237.81 = 8,493.76 : x
  2. Step 2: Convert to fraction form
    16,825.21/25,237.81 = 8,493.76/x
  3. Step 3: Cross multiply
    16,825.21x = 25,237.81 × 8,493.76
  4. Step 4: Simplify right side
    16,825.21x = 214,363,925.31
  5. Step 5: Solve for x
    x = 214,363,925.31/16,825.21
  6. Step 6: Final answer
    x = 12,740.64

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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.