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Finding the Fourth Proportional to 19,893.22, 29,839.52 and 5,102.01

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Solution

The fourth proportional to 19,893.22, 29,839.52 and 5,102.01 is: 7,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.22 : 29,839.52 = 5,102.01 : x
  2. Step 2: Convert to fraction form
    19,893.22/29,839.52 = 5,102.01/x
  3. Step 3: Cross multiply
    19,893.22x = 29,839.52 × 5,102.01
  4. Step 4: Simplify right side
    19,893.22x = 152,241,542.19
  5. Step 5: Solve for x
    x = 152,241,542.19/19,893.22
  6. Step 6: Final answer
    x = 7,652.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.