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Finding the Fourth Proportional to 23,771.16, 32,804.46 and 13,161

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Solution

The fourth proportional to 23,771.16, 32,804.46 and 13,161 is: 18,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.16 : 32,804.46 = 13,161 : x
  2. Step 2: Convert to fraction form
    23,771.16/32,804.46 = 13,161/x
  3. Step 3: Cross multiply
    23,771.16x = 32,804.46 × 13,161
  4. Step 4: Simplify right side
    23,771.16x = 431,739,498.06
  5. Step 5: Solve for x
    x = 431,739,498.06/23,771.16
  6. Step 6: Final answer
    x = 18,162.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.