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Finding the Fourth Proportional to 23,381.85, 32,266.74 and 12,771.48

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Solution

The fourth proportional to 23,381.85, 32,266.74 and 12,771.48 is: 17,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.85 : 32,266.74 = 12,771.48 : x
  2. Step 2: Convert to fraction form
    23,381.85/32,266.74 = 12,771.48/x
  3. Step 3: Cross multiply
    23,381.85x = 32,266.74 × 12,771.48
  4. Step 4: Simplify right side
    23,381.85x = 412,094,024.58
  5. Step 5: Solve for x
    x = 412,094,024.58/23,381.85
  6. Step 6: Final answer
    x = 17,624.53

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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.