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Finding the Fourth Proportional to 23,833, 35,726.26 and 11,349.69

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Solution

The fourth proportional to 23,833, 35,726.26 and 11,349.69 is: 17,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833 : 35,726.26 = 11,349.69 : x
  2. Step 2: Convert to fraction form
    23,833/35,726.26 = 11,349.69/x
  3. Step 3: Cross multiply
    23,833x = 35,726.26 × 11,349.69
  4. Step 4: Simplify right side
    23,833x = 405,481,975.86
  5. Step 5: Solve for x
    x = 405,481,975.86/23,833
  6. Step 6: Final answer
    x = 17,013.47

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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.