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Finding the Fourth Proportional to 16,830.90, 25,238.97 and 5,734.53

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Solution

The fourth proportional to 16,830.90, 25,238.97 and 5,734.53 is: 8,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.90 : 25,238.97 = 5,734.53 : x
  2. Step 2: Convert to fraction form
    16,830.90/25,238.97 = 5,734.53/x
  3. Step 3: Cross multiply
    16,830.90x = 25,238.97 × 5,734.53
  4. Step 4: Simplify right side
    16,830.90x = 144,733,630.63
  5. Step 5: Solve for x
    x = 144,733,630.63/16,830.90
  6. Step 6: Final answer
    x = 8,599.28

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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.