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Finding the Fourth Proportional to 23,206.86, 32,025.48 and 12,596.49

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Solution

The fourth proportional to 23,206.86, 32,025.48 and 12,596.49 is: 17,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.86 : 32,025.48 = 12,596.49 : x
  2. Step 2: Convert to fraction form
    23,206.86/32,025.48 = 12,596.49/x
  3. Step 3: Cross multiply
    23,206.86x = 32,025.48 × 12,596.49
  4. Step 4: Simplify right side
    23,206.86x = 403,408,638.57
  5. Step 5: Solve for x
    x = 403,408,638.57/23,206.86
  6. Step 6: Final answer
    x = 17,383.16

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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.