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Finding the Fourth Proportional to 14,197.45, 19,591.71 and 7,823.83

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Solution

The fourth proportional to 14,197.45, 19,591.71 and 7,823.83 is: 10,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.45 : 19,591.71 = 7,823.83 : x
  2. Step 2: Convert to fraction form
    14,197.45/19,591.71 = 7,823.83/x
  3. Step 3: Cross multiply
    14,197.45x = 19,591.71 × 7,823.83
  4. Step 4: Simplify right side
    14,197.45x = 153,282,208.45
  5. Step 5: Solve for x
    x = 153,282,208.45/14,197.45
  6. Step 6: Final answer
    x = 10,796.46

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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.