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Finding the Fourth Proportional to 16,938, 25,382.40 and 12,017.25

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Solution

The fourth proportional to 16,938, 25,382.40 and 12,017.25 is: 18,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,938 : 25,382.40 = 12,017.25 : x
  2. Step 2: Convert to fraction form
    16,938/25,382.40 = 12,017.25/x
  3. Step 3: Cross multiply
    16,938x = 25,382.40 × 12,017.25
  4. Step 4: Simplify right side
    16,938x = 305,026,646.40
  5. Step 5: Solve for x
    x = 305,026,646.40/16,938
  6. Step 6: Final answer
    x = 18,008.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.