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Finding the Fourth Proportional to 19,734.84, 29,602.26 and 5,883.84

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Solution

The fourth proportional to 19,734.84, 29,602.26 and 5,883.84 is: 8,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734.84 : 29,602.26 = 5,883.84 : x
  2. Step 2: Convert to fraction form
    19,734.84/29,602.26 = 5,883.84/x
  3. Step 3: Cross multiply
    19,734.84x = 29,602.26 × 5,883.84
  4. Step 4: Simplify right side
    19,734.84x = 174,174,961.48
  5. Step 5: Solve for x
    x = 174,174,961.48/19,734.84
  6. Step 6: Final answer
    x = 8,825.76

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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.