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Finding the Fourth Proportional to 19,684.60, 29,511.30 and 9,818.80

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Solution

The fourth proportional to 19,684.60, 29,511.30 and 9,818.80 is: 14,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.60 : 29,511.30 = 9,818.80 : x
  2. Step 2: Convert to fraction form
    19,684.60/29,511.30 = 9,818.80/x
  3. Step 3: Cross multiply
    19,684.60x = 29,511.30 × 9,818.80
  4. Step 4: Simplify right side
    19,684.60x = 289,765,404.88
  5. Step 5: Solve for x
    x = 289,765,404.88/19,684.60
  6. Step 6: Final answer
    x = 14,720.41

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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.