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Finding the Fourth Proportional to 16,398.70, 22,629.65 and 9,228.75

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Solution

The fourth proportional to 16,398.70, 22,629.65 and 9,228.75 is: 12,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398.70 : 22,629.65 = 9,228.75 : x
  2. Step 2: Convert to fraction form
    16,398.70/22,629.65 = 9,228.75/x
  3. Step 3: Cross multiply
    16,398.70x = 22,629.65 × 9,228.75
  4. Step 4: Simplify right side
    16,398.70x = 208,843,405.51
  5. Step 5: Solve for x
    x = 208,843,405.51/16,398.70
  6. Step 6: Final answer
    x = 12,735.37

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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.