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Finding the Fourth Proportional to 11,809.64, 17,698.66 and 8,674.94

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Solution

The fourth proportional to 11,809.64, 17,698.66 and 8,674.94 is: 13,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.64 : 17,698.66 = 8,674.94 : x
  2. Step 2: Convert to fraction form
    11,809.64/17,698.66 = 8,674.94/x
  3. Step 3: Cross multiply
    11,809.64x = 17,698.66 × 8,674.94
  4. Step 4: Simplify right side
    11,809.64x = 153,534,836.14
  5. Step 5: Solve for x
    x = 153,534,836.14/11,809.64
  6. Step 6: Final answer
    x = 13,000.80

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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.