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Finding the Fourth Proportional to 22,741.80, 31,383.23 and 12,670.22

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Solution

The fourth proportional to 22,741.80, 31,383.23 and 12,670.22 is: 17,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.80 : 31,383.23 = 12,670.22 : x
  2. Step 2: Convert to fraction form
    22,741.80/31,383.23 = 12,670.22/x
  3. Step 3: Cross multiply
    22,741.80x = 31,383.23 × 12,670.22
  4. Step 4: Simplify right side
    22,741.80x = 397,632,208.14
  5. Step 5: Solve for x
    x = 397,632,208.14/22,741.80
  6. Step 6: Final answer
    x = 17,484.64

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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.