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Finding the Fourth Proportional to 19,378.08, 29,070.36 and 7,691.40

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Solution

The fourth proportional to 19,378.08, 29,070.36 and 7,691.40 is: 11,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.08 : 29,070.36 = 7,691.40 : x
  2. Step 2: Convert to fraction form
    19,378.08/29,070.36 = 7,691.40/x
  3. Step 3: Cross multiply
    19,378.08x = 29,070.36 × 7,691.40
  4. Step 4: Simplify right side
    19,378.08x = 223,591,766.90
  5. Step 5: Solve for x
    x = 223,591,766.90/19,378.08
  6. Step 6: Final answer
    x = 11,538.39

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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.