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Finding the Fourth Proportional to 19,942.93, 29,856.39 and 11,597.50

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Solution

The fourth proportional to 19,942.93, 29,856.39 and 11,597.50 is: 17,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.93 : 29,856.39 = 11,597.50 : x
  2. Step 2: Convert to fraction form
    19,942.93/29,856.39 = 11,597.50/x
  3. Step 3: Cross multiply
    19,942.93x = 29,856.39 × 11,597.50
  4. Step 4: Simplify right side
    19,942.93x = 346,259,483.03
  5. Step 5: Solve for x
    x = 346,259,483.03/19,942.93
  6. Step 6: Final answer
    x = 17,362.52

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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.