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Finding the Fourth Proportional to 22,754.22, 31,400.96 and 12,683.30

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Solution

The fourth proportional to 22,754.22, 31,400.96 and 12,683.30 is: 17,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.22 : 31,400.96 = 12,683.30 : x
  2. Step 2: Convert to fraction form
    22,754.22/31,400.96 = 12,683.30/x
  3. Step 3: Cross multiply
    22,754.22x = 31,400.96 × 12,683.30
  4. Step 4: Simplify right side
    22,754.22x = 398,267,670.67
  5. Step 5: Solve for x
    x = 398,267,670.67/22,754.22
  6. Step 6: Final answer
    x = 17,503.03

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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.