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Finding the Fourth Proportional to 22,481.98, 31,025.22 and 12,410.50

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Solution

The fourth proportional to 22,481.98, 31,025.22 and 12,410.50 is: 17,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.98 : 31,025.22 = 12,410.50 : x
  2. Step 2: Convert to fraction form
    22,481.98/31,025.22 = 12,410.50/x
  3. Step 3: Cross multiply
    22,481.98x = 31,025.22 × 12,410.50
  4. Step 4: Simplify right side
    22,481.98x = 385,038,492.81
  5. Step 5: Solve for x
    x = 385,038,492.81/22,481.98
  6. Step 6: Final answer
    x = 17,126.54

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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.