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Finding the Fourth Proportional to 16,893.69, 23,311.98 and 9,820.50

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Solution

The fourth proportional to 16,893.69, 23,311.98 and 9,820.50 is: 13,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893.69 : 23,311.98 = 9,820.50 : x
  2. Step 2: Convert to fraction form
    16,893.69/23,311.98 = 9,820.50/x
  3. Step 3: Cross multiply
    16,893.69x = 23,311.98 × 9,820.50
  4. Step 4: Simplify right side
    16,893.69x = 228,935,299.59
  5. Step 5: Solve for x
    x = 228,935,299.59/16,893.69
  6. Step 6: Final answer
    x = 13,551.53

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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.