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Finding the Fourth Proportional to 16,385.77, 24,575.92 and 4,696.25

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Solution

The fourth proportional to 16,385.77, 24,575.92 and 4,696.25 is: 7,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.77 : 24,575.92 = 4,696.25 : x
  2. Step 2: Convert to fraction form
    16,385.77/24,575.92 = 4,696.25/x
  3. Step 3: Cross multiply
    16,385.77x = 24,575.92 × 4,696.25
  4. Step 4: Simplify right side
    16,385.77x = 115,414,640.82
  5. Step 5: Solve for x
    x = 115,414,640.82/16,385.77
  6. Step 6: Final answer
    x = 7,043.59

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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.