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Finding the Fourth Proportional to 23,816.83, 35,722.71 and 9,778.33

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Solution

The fourth proportional to 23,816.83, 35,722.71 and 9,778.33 is: 14,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.83 : 35,722.71 = 9,778.33 : x
  2. Step 2: Convert to fraction form
    23,816.83/35,722.71 = 9,778.33/x
  3. Step 3: Cross multiply
    23,816.83x = 35,722.71 × 9,778.33
  4. Step 4: Simplify right side
    23,816.83x = 349,308,446.87
  5. Step 5: Solve for x
    x = 349,308,446.87/23,816.83
  6. Step 6: Final answer
    x = 14,666.45

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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.