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Finding the Fourth Proportional to 39,267, 58,911.84 and 11,565

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Solution

The fourth proportional to 39,267, 58,911.84 and 11,565 is: 17,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,267 : 58,911.84 = 11,565 : x
  2. Step 2: Convert to fraction form
    39,267/58,911.84 = 11,565/x
  3. Step 3: Cross multiply
    39,267x = 58,911.84 × 11,565
  4. Step 4: Simplify right side
    39,267x = 681,315,429.60
  5. Step 5: Solve for x
    x = 681,315,429.60/39,267
  6. Step 6: Final answer
    x = 17,350.84

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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.