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Finding the Fourth Proportional to 14,750.83, 22,138.94 and 7,735.72

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Solution

The fourth proportional to 14,750.83, 22,138.94 and 7,735.72 is: 11,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750.83 : 22,138.94 = 7,735.72 : x
  2. Step 2: Convert to fraction form
    14,750.83/22,138.94 = 7,735.72/x
  3. Step 3: Cross multiply
    14,750.83x = 22,138.94 × 7,735.72
  4. Step 4: Simplify right side
    14,750.83x = 171,260,640.94
  5. Step 5: Solve for x
    x = 171,260,640.94/14,750.83
  6. Step 6: Final answer
    x = 11,610.24

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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.