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Finding the Fourth Proportional to 14,141.09, 21,209.69 and 7,827.64

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Solution

The fourth proportional to 14,141.09, 21,209.69 and 7,827.64 is: 11,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.09 : 21,209.69 = 7,827.64 : x
  2. Step 2: Convert to fraction form
    14,141.09/21,209.69 = 7,827.64/x
  3. Step 3: Cross multiply
    14,141.09x = 21,209.69 × 7,827.64
  4. Step 4: Simplify right side
    14,141.09x = 166,021,817.83
  5. Step 5: Solve for x
    x = 166,021,817.83/14,141.09
  6. Step 6: Final answer
    x = 11,740.38

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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.