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Finding the Fourth Proportional to 25,378.50, 35,022.33 and 14,202.66

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Solution

The fourth proportional to 25,378.50, 35,022.33 and 14,202.66 is: 19,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.50 : 35,022.33 = 14,202.66 : x
  2. Step 2: Convert to fraction form
    25,378.50/35,022.33 = 14,202.66/x
  3. Step 3: Cross multiply
    25,378.50x = 35,022.33 × 14,202.66
  4. Step 4: Simplify right side
    25,378.50x = 497,410,245.40
  5. Step 5: Solve for x
    x = 497,410,245.40/25,378.50
  6. Step 6: Final answer
    x = 19,599.67

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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.