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Finding the Fourth Proportional to 16,689, 25,017.02 and 9,296.94

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Solution

The fourth proportional to 16,689, 25,017.02 and 9,296.94 is: 13,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689 : 25,017.02 = 9,296.94 : x
  2. Step 2: Convert to fraction form
    16,689/25,017.02 = 9,296.94/x
  3. Step 3: Cross multiply
    16,689x = 25,017.02 × 9,296.94
  4. Step 4: Simplify right side
    16,689x = 232,581,733.92
  5. Step 5: Solve for x
    x = 232,581,733.92/16,689
  6. Step 6: Final answer
    x = 13,936.23

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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.