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Finding the Fourth Proportional to 22,250.25, 30,705.35 and 12,314.25

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Solution

The fourth proportional to 22,250.25, 30,705.35 and 12,314.25 is: 16,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,250.25 : 30,705.35 = 12,314.25 : x
  2. Step 2: Convert to fraction form
    22,250.25/30,705.35 = 12,314.25/x
  3. Step 3: Cross multiply
    22,250.25x = 30,705.35 × 12,314.25
  4. Step 4: Simplify right side
    22,250.25x = 378,113,294.67
  5. Step 5: Solve for x
    x = 378,113,294.67/22,250.25
  6. Step 6: Final answer
    x = 16,993.67

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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.