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Finding the Fourth Proportional to 14,366.25, 19,825.23 and 8,078.64

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Solution

The fourth proportional to 14,366.25, 19,825.23 and 8,078.64 is: 11,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.25 : 19,825.23 = 8,078.64 : x
  2. Step 2: Convert to fraction form
    14,366.25/19,825.23 = 8,078.64/x
  3. Step 3: Cross multiply
    14,366.25x = 19,825.23 × 8,078.64
  4. Step 4: Simplify right side
    14,366.25x = 160,160,896.09
  5. Step 5: Solve for x
    x = 160,160,896.09/14,366.25
  6. Step 6: Final answer
    x = 11,148.41

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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.