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Finding the Fourth Proportional to 16,583.99, 24,876 and 4,905.41

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Solution

The fourth proportional to 16,583.99, 24,876 and 4,905.41 is: 7,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.99 : 24,876 = 4,905.41 : x
  2. Step 2: Convert to fraction form
    16,583.99/24,876 = 4,905.41/x
  3. Step 3: Cross multiply
    16,583.99x = 24,876 × 4,905.41
  4. Step 4: Simplify right side
    16,583.99x = 122,026,854.78
  5. Step 5: Solve for x
    x = 122,026,854.78/16,583.99
  6. Step 6: Final answer
    x = 7,358.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.