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Finding the Fourth Proportional to 26,408.52, 39,590.21 and 9,765.45

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Solution

The fourth proportional to 26,408.52, 39,590.21 and 9,765.45 is: 14,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408.52 : 39,590.21 = 9,765.45 : x
  2. Step 2: Convert to fraction form
    26,408.52/39,590.21 = 9,765.45/x
  3. Step 3: Cross multiply
    26,408.52x = 39,590.21 × 9,765.45
  4. Step 4: Simplify right side
    26,408.52x = 386,616,167.42
  5. Step 5: Solve for x
    x = 386,616,167.42/26,408.52
  6. Step 6: Final answer
    x = 14,639.83

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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.