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Finding the Fourth Proportional to 14,911.83, 22,367.75 and 7,522.54

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Solution

The fourth proportional to 14,911.83, 22,367.75 and 7,522.54 is: 11,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.83 : 22,367.75 = 7,522.54 : x
  2. Step 2: Convert to fraction form
    14,911.83/22,367.75 = 7,522.54/x
  3. Step 3: Cross multiply
    14,911.83x = 22,367.75 × 7,522.54
  4. Step 4: Simplify right side
    14,911.83x = 168,262,200.55
  5. Step 5: Solve for x
    x = 168,262,200.55/14,911.83
  6. Step 6: Final answer
    x = 11,283.81

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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.