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Finding the Fourth Proportional to 16,830.64, 25,233.81 and 5,137.48

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Solution

The fourth proportional to 16,830.64, 25,233.81 and 5,137.48 is: 7,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.64 : 25,233.81 = 5,137.48 : x
  2. Step 2: Convert to fraction form
    16,830.64/25,233.81 = 5,137.48/x
  3. Step 3: Cross multiply
    16,830.64x = 25,233.81 × 5,137.48
  4. Step 4: Simplify right side
    16,830.64x = 129,638,194.20
  5. Step 5: Solve for x
    x = 129,638,194.20/16,830.64
  6. Step 6: Final answer
    x = 7,702.51

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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.