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Finding the Fourth Proportional to 16,094.34, 24,135.46 and 6,735

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Solution

The fourth proportional to 16,094.34, 24,135.46 and 6,735 is: 10,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.34 : 24,135.46 = 6,735 : x
  2. Step 2: Convert to fraction form
    16,094.34/24,135.46 = 6,735/x
  3. Step 3: Cross multiply
    16,094.34x = 24,135.46 × 6,735
  4. Step 4: Simplify right side
    16,094.34x = 162,552,323.10
  5. Step 5: Solve for x
    x = 162,552,323.10/16,094.34
  6. Step 6: Final answer
    x = 10,099.97

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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.