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Finding the Fourth Proportional to 16,343.66, 22,556.83 and 9,971.64

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Solution

The fourth proportional to 16,343.66, 22,556.83 and 9,971.64 is: 13,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.66 : 22,556.83 = 9,971.64 : x
  2. Step 2: Convert to fraction form
    16,343.66/22,556.83 = 9,971.64/x
  3. Step 3: Cross multiply
    16,343.66x = 22,556.83 × 9,971.64
  4. Step 4: Simplify right side
    16,343.66x = 224,928,582.07
  5. Step 5: Solve for x
    x = 224,928,582.07/16,343.66
  6. Step 6: Final answer
    x = 13,762.44

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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.