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Finding the Fourth Proportional to 12,809.00, 17,674.54 and 7,431.21

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Solution

The fourth proportional to 12,809.00, 17,674.54 and 7,431.21 is: 10,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.00 : 17,674.54 = 7,431.21 : x
  2. Step 2: Convert to fraction form
    12,809.00/17,674.54 = 7,431.21/x
  3. Step 3: Cross multiply
    12,809.00x = 17,674.54 × 7,431.21
  4. Step 4: Simplify right side
    12,809.00x = 131,343,199.82
  5. Step 5: Solve for x
    x = 131,343,199.82/12,809.00
  6. Step 6: Final answer
    x = 10,253.98

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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.