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Finding the Fourth Proportional to 23,829.34, 35,744.26 and 7,189.51

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Solution

The fourth proportional to 23,829.34, 35,744.26 and 7,189.51 is: 10,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.34 : 35,744.26 = 7,189.51 : x
  2. Step 2: Convert to fraction form
    23,829.34/35,744.26 = 7,189.51/x
  3. Step 3: Cross multiply
    23,829.34x = 35,744.26 × 7,189.51
  4. Step 4: Simplify right side
    23,829.34x = 256,983,835.40
  5. Step 5: Solve for x
    x = 256,983,835.40/23,829.34
  6. Step 6: Final answer
    x = 10,784.35

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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.