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Finding the Fourth Proportional to 14,033.28, 19,366.04 and 7,659.92

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Solution

The fourth proportional to 14,033.28, 19,366.04 and 7,659.92 is: 10,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.28 : 19,366.04 = 7,659.92 : x
  2. Step 2: Convert to fraction form
    14,033.28/19,366.04 = 7,659.92/x
  3. Step 3: Cross multiply
    14,033.28x = 19,366.04 × 7,659.92
  4. Step 4: Simplify right side
    14,033.28x = 148,342,317.12
  5. Step 5: Solve for x
    x = 148,342,317.12/14,033.28
  6. Step 6: Final answer
    x = 10,570.75

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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.