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Finding the Fourth Proportional to 14,198.58, 19,594.04 and 7,825.17

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Solution

The fourth proportional to 14,198.58, 19,594.04 and 7,825.17 is: 10,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.58 : 19,594.04 = 7,825.17 : x
  2. Step 2: Convert to fraction form
    14,198.58/19,594.04 = 7,825.17/x
  3. Step 3: Cross multiply
    14,198.58x = 19,594.04 × 7,825.17
  4. Step 4: Simplify right side
    14,198.58x = 153,326,794.36
  5. Step 5: Solve for x
    x = 153,326,794.36/14,198.58
  6. Step 6: Final answer
    x = 10,798.74

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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.