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Finding the Fourth Proportional to 16,767, 23,182.14 and 16,032.60

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Solution

The fourth proportional to 16,767, 23,182.14 and 16,032.60 is: 22,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 23,182.14 = 16,032.60 : x
  2. Step 2: Convert to fraction form
    16,767/23,182.14 = 16,032.60/x
  3. Step 3: Cross multiply
    16,767x = 23,182.14 × 16,032.60
  4. Step 4: Simplify right side
    16,767x = 371,669,977.76
  5. Step 5: Solve for x
    x = 371,669,977.76/16,767
  6. Step 6: Final answer
    x = 22,166.75

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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.