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Finding the Fourth Proportional to 23,830.21, 35,722.07 and 11,346.88

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Solution

The fourth proportional to 23,830.21, 35,722.07 and 11,346.88 is: 17,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.21 : 35,722.07 = 11,346.88 : x
  2. Step 2: Convert to fraction form
    23,830.21/35,722.07 = 11,346.88/x
  3. Step 3: Cross multiply
    23,830.21x = 35,722.07 × 11,346.88
  4. Step 4: Simplify right side
    23,830.21x = 405,334,041.64
  5. Step 5: Solve for x
    x = 405,334,041.64/23,830.21
  6. Step 6: Final answer
    x = 17,009.25

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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.