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Finding the Fourth Proportional to 16,533.84, 22,791.42 and 10,148.64

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Solution

The fourth proportional to 16,533.84, 22,791.42 and 10,148.64 is: 13,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.84 : 22,791.42 = 10,148.64 : x
  2. Step 2: Convert to fraction form
    16,533.84/22,791.42 = 10,148.64/x
  3. Step 3: Cross multiply
    16,533.84x = 22,791.42 × 10,148.64
  4. Step 4: Simplify right side
    16,533.84x = 231,301,916.67
  5. Step 5: Solve for x
    x = 231,301,916.67/16,533.84
  6. Step 6: Final answer
    x = 13,989.61

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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.