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Finding the Fourth Proportional to 14,271.97, 19,695 and 7,811.57

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Solution

The fourth proportional to 14,271.97, 19,695 and 7,811.57 is: 10,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.97 : 19,695 = 7,811.57 : x
  2. Step 2: Convert to fraction form
    14,271.97/19,695 = 7,811.57/x
  3. Step 3: Cross multiply
    14,271.97x = 19,695 × 7,811.57
  4. Step 4: Simplify right side
    14,271.97x = 153,848,920.39
  5. Step 5: Solve for x
    x = 153,848,920.39/14,271.97
  6. Step 6: Final answer
    x = 10,779.80

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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.