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Finding the Fourth Proportional to 11,006.70, 16,466.85 and 9,969.90

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Solution

The fourth proportional to 11,006.70, 16,466.85 and 9,969.90 is: 14,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.70 : 16,466.85 = 9,969.90 : x
  2. Step 2: Convert to fraction form
    11,006.70/16,466.85 = 9,969.90/x
  3. Step 3: Cross multiply
    11,006.70x = 16,466.85 × 9,969.90
  4. Step 4: Simplify right side
    11,006.70x = 164,172,847.82
  5. Step 5: Solve for x
    x = 164,172,847.82/11,006.70
  6. Step 6: Final answer
    x = 14,915.72

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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.