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Finding the Fourth Proportional to 19,697.14, 29,533.82 and 7,852.74

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Solution

The fourth proportional to 19,697.14, 29,533.82 and 7,852.74 is: 11,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.14 : 29,533.82 = 7,852.74 : x
  2. Step 2: Convert to fraction form
    19,697.14/29,533.82 = 7,852.74/x
  3. Step 3: Cross multiply
    19,697.14x = 29,533.82 × 7,852.74
  4. Step 4: Simplify right side
    19,697.14x = 231,921,409.67
  5. Step 5: Solve for x
    x = 231,921,409.67/19,697.14
  6. Step 6: Final answer
    x = 11,774.37

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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.