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Finding the Fourth Proportional to 23,408.26, 32,300.94 and 13,334.58

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Solution

The fourth proportional to 23,408.26, 32,300.94 and 13,334.58 is: 18,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.26 : 32,300.94 = 13,334.58 : x
  2. Step 2: Convert to fraction form
    23,408.26/32,300.94 = 13,334.58/x
  3. Step 3: Cross multiply
    23,408.26x = 32,300.94 × 13,334.58
  4. Step 4: Simplify right side
    23,408.26x = 430,719,468.51
  5. Step 5: Solve for x
    x = 430,719,468.51/23,408.26
  6. Step 6: Final answer
    x = 18,400.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.