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Finding the Fourth Proportional to 19,745.02, 29,617.52 and 5,894.02

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Solution

The fourth proportional to 19,745.02, 29,617.52 and 5,894.02 is: 8,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.02 : 29,617.52 = 5,894.02 : x
  2. Step 2: Convert to fraction form
    19,745.02/29,617.52 = 5,894.02/x
  3. Step 3: Cross multiply
    19,745.02x = 29,617.52 × 5,894.02
  4. Step 4: Simplify right side
    19,745.02x = 174,566,145.91
  5. Step 5: Solve for x
    x = 174,566,145.91/19,745.02
  6. Step 6: Final answer
    x = 8,841.02

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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.