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Finding the Fourth Proportional to 27,788.81, 41,683.21 and 9,333.77

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Solution

The fourth proportional to 27,788.81, 41,683.21 and 9,333.77 is: 14,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.81 : 41,683.21 = 9,333.77 : x
  2. Step 2: Convert to fraction form
    27,788.81/41,683.21 = 9,333.77/x
  3. Step 3: Cross multiply
    27,788.81x = 41,683.21 × 9,333.77
  4. Step 4: Simplify right side
    27,788.81x = 389,061,263.25
  5. Step 5: Solve for x
    x = 389,061,263.25/27,788.81
  6. Step 6: Final answer
    x = 14,000.65

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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.