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Finding the Fourth Proportional to 16,923.36, 23,355 and 9,471.36

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Solution

The fourth proportional to 16,923.36, 23,355 and 9,471.36 is: 13,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.36 : 23,355 = 9,471.36 : x
  2. Step 2: Convert to fraction form
    16,923.36/23,355 = 9,471.36/x
  3. Step 3: Cross multiply
    16,923.36x = 23,355 × 9,471.36
  4. Step 4: Simplify right side
    16,923.36x = 221,203,612.80
  5. Step 5: Solve for x
    x = 221,203,612.80/16,923.36
  6. Step 6: Final answer
    x = 13,070.90

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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.