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Finding the Fourth Proportional to 19,533.78, 29,302.40 and 5,493.93

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Solution

The fourth proportional to 19,533.78, 29,302.40 and 5,493.93 is: 8,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.78 : 29,302.40 = 5,493.93 : x
  2. Step 2: Convert to fraction form
    19,533.78/29,302.40 = 5,493.93/x
  3. Step 3: Cross multiply
    19,533.78x = 29,302.40 × 5,493.93
  4. Step 4: Simplify right side
    19,533.78x = 160,985,334.43
  5. Step 5: Solve for x
    x = 160,985,334.43/19,533.78
  6. Step 6: Final answer
    x = 8,241.38

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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.