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Finding the Fourth Proportional to 16,097.84, 24,142.40 and 6,735.94

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Solution

The fourth proportional to 16,097.84, 24,142.40 and 6,735.94 is: 10,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.84 : 24,142.40 = 6,735.94 : x
  2. Step 2: Convert to fraction form
    16,097.84/24,142.40 = 6,735.94/x
  3. Step 3: Cross multiply
    16,097.84x = 24,142.40 × 6,735.94
  4. Step 4: Simplify right side
    16,097.84x = 162,621,862.77
  5. Step 5: Solve for x
    x = 162,621,862.77/16,097.84
  6. Step 6: Final answer
    x = 10,102.09

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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.