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Finding the Fourth Proportional to 21,385.50, 29,511.99 and 13,002

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Solution

The fourth proportional to 21,385.50, 29,511.99 and 13,002 is: 17,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.50 : 29,511.99 = 13,002 : x
  2. Step 2: Convert to fraction form
    21,385.50/29,511.99 = 13,002/x
  3. Step 3: Cross multiply
    21,385.50x = 29,511.99 × 13,002
  4. Step 4: Simplify right side
    21,385.50x = 383,714,893.98
  5. Step 5: Solve for x
    x = 383,714,893.98/21,385.50
  6. Step 6: Final answer
    x = 17,942.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.