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Finding the Fourth Proportional to 23,203.98, 32,023.49 and 13,135.64

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Solution

The fourth proportional to 23,203.98, 32,023.49 and 13,135.64 is: 18,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.98 : 32,023.49 = 13,135.64 : x
  2. Step 2: Convert to fraction form
    23,203.98/32,023.49 = 13,135.64/x
  3. Step 3: Cross multiply
    23,203.98x = 32,023.49 × 13,135.64
  4. Step 4: Simplify right side
    23,203.98x = 420,648,810.39
  5. Step 5: Solve for x
    x = 420,648,810.39/23,203.98
  6. Step 6: Final answer
    x = 18,128.30

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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.