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Finding the Fourth Proportional to 16,427.10, 24,640.65 and 11,415.90

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Solution

The fourth proportional to 16,427.10, 24,640.65 and 11,415.90 is: 17,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.10 : 24,640.65 = 11,415.90 : x
  2. Step 2: Convert to fraction form
    16,427.10/24,640.65 = 11,415.90/x
  3. Step 3: Cross multiply
    16,427.10x = 24,640.65 × 11,415.90
  4. Step 4: Simplify right side
    16,427.10x = 281,295,196.34
  5. Step 5: Solve for x
    x = 281,295,196.34/16,427.10
  6. Step 6: Final answer
    x = 17,123.85

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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.