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Finding the Fourth Proportional to 16,498.48, 24,730.44 and 7,726

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Solution

The fourth proportional to 16,498.48, 24,730.44 and 7,726 is: 11,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.48 : 24,730.44 = 7,726 : x
  2. Step 2: Convert to fraction form
    16,498.48/24,730.44 = 7,726/x
  3. Step 3: Cross multiply
    16,498.48x = 24,730.44 × 7,726
  4. Step 4: Simplify right side
    16,498.48x = 191,067,379.44
  5. Step 5: Solve for x
    x = 191,067,379.44/16,498.48
  6. Step 6: Final answer
    x = 11,580.91

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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.