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Finding the Fourth Proportional to 14,629.68, 21,946.79 and 4,766.66

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Solution

The fourth proportional to 14,629.68, 21,946.79 and 4,766.66 is: 7,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.68 : 21,946.79 = 4,766.66 : x
  2. Step 2: Convert to fraction form
    14,629.68/21,946.79 = 4,766.66/x
  3. Step 3: Cross multiply
    14,629.68x = 21,946.79 × 4,766.66
  4. Step 4: Simplify right side
    14,629.68x = 104,612,886.02
  5. Step 5: Solve for x
    x = 104,612,886.02/14,629.68
  6. Step 6: Final answer
    x = 7,150.73

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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.