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Finding the Fourth Proportional to 23,771.76, 32,803.60 and 13,160.76

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Solution

The fourth proportional to 23,771.76, 32,803.60 and 13,160.76 is: 18,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.76 : 32,803.60 = 13,160.76 : x
  2. Step 2: Convert to fraction form
    23,771.76/32,803.60 = 13,160.76/x
  3. Step 3: Cross multiply
    23,771.76x = 32,803.60 × 13,160.76
  4. Step 4: Simplify right side
    23,771.76x = 431,720,306.74
  5. Step 5: Solve for x
    x = 431,720,306.74/23,771.76
  6. Step 6: Final answer
    x = 18,161.06

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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.