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Finding the Fourth Proportional to 14,922.36, 22,383 and 6,150.69

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Solution

The fourth proportional to 14,922.36, 22,383 and 6,150.69 is: 9,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.36 : 22,383 = 6,150.69 : x
  2. Step 2: Convert to fraction form
    14,922.36/22,383 = 6,150.69/x
  3. Step 3: Cross multiply
    14,922.36x = 22,383 × 6,150.69
  4. Step 4: Simplify right side
    14,922.36x = 137,670,894.27
  5. Step 5: Solve for x
    x = 137,670,894.27/14,922.36
  6. Step 6: Final answer
    x = 9,225.81

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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.