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Finding the Fourth Proportional to 16,418.15, 22,657.03 and 9,706.20

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Solution

The fourth proportional to 16,418.15, 22,657.03 and 9,706.20 is: 13,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418.15 : 22,657.03 = 9,706.20 : x
  2. Step 2: Convert to fraction form
    16,418.15/22,657.03 = 9,706.20/x
  3. Step 3: Cross multiply
    16,418.15x = 22,657.03 × 9,706.20
  4. Step 4: Simplify right side
    16,418.15x = 219,913,664.59
  5. Step 5: Solve for x
    x = 219,913,664.59/16,418.15
  6. Step 6: Final answer
    x = 13,394.54

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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.