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Finding the Fourth Proportional to 23,381.94, 32,267.76 and 12,771.74

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Solution

The fourth proportional to 23,381.94, 32,267.76 and 12,771.74 is: 17,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.94 : 32,267.76 = 12,771.74 : x
  2. Step 2: Convert to fraction form
    23,381.94/32,267.76 = 12,771.74/x
  3. Step 3: Cross multiply
    23,381.94x = 32,267.76 × 12,771.74
  4. Step 4: Simplify right side
    23,381.94x = 412,115,441.10
  5. Step 5: Solve for x
    x = 412,115,441.10/23,381.94
  6. Step 6: Final answer
    x = 17,625.37

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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.