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Finding the Fourth Proportional to 19,511.20, 29,233.20 and 9,101.60

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Solution

The fourth proportional to 19,511.20, 29,233.20 and 9,101.60 is: 13,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511.20 : 29,233.20 = 9,101.60 : x
  2. Step 2: Convert to fraction form
    19,511.20/29,233.20 = 9,101.60/x
  3. Step 3: Cross multiply
    19,511.20x = 29,233.20 × 9,101.60
  4. Step 4: Simplify right side
    19,511.20x = 266,068,893.12
  5. Step 5: Solve for x
    x = 266,068,893.12/19,511.20
  6. Step 6: Final answer
    x = 13,636.73

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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.