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Finding the Fourth Proportional to 14,194.67, 21,271.93 and 7,872.35

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Solution

The fourth proportional to 14,194.67, 21,271.93 and 7,872.35 is: 11,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.67 : 21,271.93 = 7,872.35 : x
  2. Step 2: Convert to fraction form
    14,194.67/21,271.93 = 7,872.35/x
  3. Step 3: Cross multiply
    14,194.67x = 21,271.93 × 7,872.35
  4. Step 4: Simplify right side
    14,194.67x = 167,460,005.27
  5. Step 5: Solve for x
    x = 167,460,005.27/14,194.67
  6. Step 6: Final answer
    x = 11,797.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.