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Finding the Fourth Proportional to 16,778.54, 23,153.04 and 9,705.42

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Solution

The fourth proportional to 16,778.54, 23,153.04 and 9,705.42 is: 13,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.54 : 23,153.04 = 9,705.42 : x
  2. Step 2: Convert to fraction form
    16,778.54/23,153.04 = 9,705.42/x
  3. Step 3: Cross multiply
    16,778.54x = 23,153.04 × 9,705.42
  4. Step 4: Simplify right side
    16,778.54x = 224,709,977.48
  5. Step 5: Solve for x
    x = 224,709,977.48/16,778.54
  6. Step 6: Final answer
    x = 13,392.70

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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.