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Finding the Fourth Proportional to 22,754.72, 31,401.66 and 12,683.80

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Solution

The fourth proportional to 22,754.72, 31,401.66 and 12,683.80 is: 17,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.72 : 31,401.66 = 12,683.80 : x
  2. Step 2: Convert to fraction form
    22,754.72/31,401.66 = 12,683.80/x
  3. Step 3: Cross multiply
    22,754.72x = 31,401.66 × 12,683.80
  4. Step 4: Simplify right side
    22,754.72x = 398,292,154.68
  5. Step 5: Solve for x
    x = 398,292,154.68/22,754.72
  6. Step 6: Final answer
    x = 17,503.72

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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.