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Finding the Fourth Proportional to 12,472.83, 18,712.89 and 4,682.25

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Solution

The fourth proportional to 12,472.83, 18,712.89 and 4,682.25 is: 7,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.83 : 18,712.89 = 4,682.25 : x
  2. Step 2: Convert to fraction form
    12,472.83/18,712.89 = 4,682.25/x
  3. Step 3: Cross multiply
    12,472.83x = 18,712.89 × 4,682.25
  4. Step 4: Simplify right side
    12,472.83x = 87,618,429.20
  5. Step 5: Solve for x
    x = 87,618,429.20/12,472.83
  6. Step 6: Final answer
    x = 7,024.74

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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.