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Finding the Fourth Proportional to 11,774.70, 17,661.98 and 3,009.60

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Solution

The fourth proportional to 11,774.70, 17,661.98 and 3,009.60 is: 4,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.70 : 17,661.98 = 3,009.60 : x
  2. Step 2: Convert to fraction form
    11,774.70/17,661.98 = 3,009.60/x
  3. Step 3: Cross multiply
    11,774.70x = 17,661.98 × 3,009.60
  4. Step 4: Simplify right side
    11,774.70x = 53,155,495.01
  5. Step 5: Solve for x
    x = 53,155,495.01/11,774.70
  6. Step 6: Final answer
    x = 4,514.38

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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.