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Finding the Fourth Proportional to 23,830.96, 35,723.20 and 11,347.63

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Solution

The fourth proportional to 23,830.96, 35,723.20 and 11,347.63 is: 17,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.96 : 35,723.20 = 11,347.63 : x
  2. Step 2: Convert to fraction form
    23,830.96/35,723.20 = 11,347.63/x
  3. Step 3: Cross multiply
    23,830.96x = 35,723.20 × 11,347.63
  4. Step 4: Simplify right side
    23,830.96x = 405,373,656.02
  5. Step 5: Solve for x
    x = 405,373,656.02/23,830.96
  6. Step 6: Final answer
    x = 17,010.38

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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.