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Finding the Fourth Proportional to 22,812.42, 31,480.80 and 12,741.03

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Solution

The fourth proportional to 22,812.42, 31,480.80 and 12,741.03 is: 17,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.42 : 31,480.80 = 12,741.03 : x
  2. Step 2: Convert to fraction form
    22,812.42/31,480.80 = 12,741.03/x
  3. Step 3: Cross multiply
    22,812.42x = 31,480.80 × 12,741.03
  4. Step 4: Simplify right side
    22,812.42x = 401,097,817.22
  5. Step 5: Solve for x
    x = 401,097,817.22/22,812.42
  6. Step 6: Final answer
    x = 17,582.43

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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.