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Finding the Fourth Proportional to 16,420.05, 22,658.31 and 9,705.96

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Solution

The fourth proportional to 16,420.05, 22,658.31 and 9,705.96 is: 13,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.05 : 22,658.31 = 9,705.96 : x
  2. Step 2: Convert to fraction form
    16,420.05/22,658.31 = 9,705.96/x
  3. Step 3: Cross multiply
    16,420.05x = 22,658.31 × 9,705.96
  4. Step 4: Simplify right side
    16,420.05x = 219,920,650.53
  5. Step 5: Solve for x
    x = 219,920,650.53/16,420.05
  6. Step 6: Final answer
    x = 13,393.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.