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Finding the Fourth Proportional to 16,164.45, 22,303.60 and 9,448.78

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Solution

The fourth proportional to 16,164.45, 22,303.60 and 9,448.78 is: 13,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.45 : 22,303.60 = 9,448.78 : x
  2. Step 2: Convert to fraction form
    16,164.45/22,303.60 = 9,448.78/x
  3. Step 3: Cross multiply
    16,164.45x = 22,303.60 × 9,448.78
  4. Step 4: Simplify right side
    16,164.45x = 210,741,785.33
  5. Step 5: Solve for x
    x = 210,741,785.33/16,164.45
  6. Step 6: Final answer
    x = 13,037.36

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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.