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Finding the Fourth Proportional to 19,852.37, 29,774.01 and 11,849.40

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Solution

The fourth proportional to 19,852.37, 29,774.01 and 11,849.40 is: 17,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.37 : 29,774.01 = 11,849.40 : x
  2. Step 2: Convert to fraction form
    19,852.37/29,774.01 = 11,849.40/x
  3. Step 3: Cross multiply
    19,852.37x = 29,774.01 × 11,849.40
  4. Step 4: Simplify right side
    19,852.37x = 352,803,945.98
  5. Step 5: Solve for x
    x = 352,803,945.98/19,852.37
  6. Step 6: Final answer
    x = 17,771.38

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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.