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Finding the Fourth Proportional to 14,002.75, 19,323.61 and 7,629.61

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Solution

The fourth proportional to 14,002.75, 19,323.61 and 7,629.61 is: 10,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.75 : 19,323.61 = 7,629.61 : x
  2. Step 2: Convert to fraction form
    14,002.75/19,323.61 = 7,629.61/x
  3. Step 3: Cross multiply
    14,002.75x = 19,323.61 × 7,629.61
  4. Step 4: Simplify right side
    14,002.75x = 147,431,619.86
  5. Step 5: Solve for x
    x = 147,431,619.86/14,002.75
  6. Step 6: Final answer
    x = 10,528.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.