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Finding the Fourth Proportional to 19,745.57, 29,607.42 and 6,590.77

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Solution

The fourth proportional to 19,745.57, 29,607.42 and 6,590.77 is: 9,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.57 : 29,607.42 = 6,590.77 : x
  2. Step 2: Convert to fraction form
    19,745.57/29,607.42 = 6,590.77/x
  3. Step 3: Cross multiply
    19,745.57x = 29,607.42 × 6,590.77
  4. Step 4: Simplify right side
    19,745.57x = 195,135,646.21
  5. Step 5: Solve for x
    x = 195,135,646.21/19,745.57
  6. Step 6: Final answer
    x = 9,882.50

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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.