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Finding the Fourth Proportional to 22,583.22, 31,170.02 and 15,029.87

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Solution

The fourth proportional to 22,583.22, 31,170.02 and 15,029.87 is: 20,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.22 : 31,170.02 = 15,029.87 : x
  2. Step 2: Convert to fraction form
    22,583.22/31,170.02 = 15,029.87/x
  3. Step 3: Cross multiply
    22,583.22x = 31,170.02 × 15,029.87
  4. Step 4: Simplify right side
    22,583.22x = 468,481,117.50
  5. Step 5: Solve for x
    x = 468,481,117.50/22,583.22
  6. Step 6: Final answer
    x = 20,744.66

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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.