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Finding the Fourth Proportional to 22,812.54, 31,480.98 and 12,741.14

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Solution

The fourth proportional to 22,812.54, 31,480.98 and 12,741.14 is: 17,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.54 : 31,480.98 = 12,741.14 : x
  2. Step 2: Convert to fraction form
    22,812.54/31,480.98 = 12,741.14/x
  3. Step 3: Cross multiply
    22,812.54x = 31,480.98 × 12,741.14
  4. Step 4: Simplify right side
    22,812.54x = 401,103,573.52
  5. Step 5: Solve for x
    x = 401,103,573.52/22,812.54
  6. Step 6: Final answer
    x = 17,582.59

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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.