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Finding the Fourth Proportional to 18,969.60, 28,457.70 and 7,870.20

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Solution

The fourth proportional to 18,969.60, 28,457.70 and 7,870.20 is: 11,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.60 : 28,457.70 = 7,870.20 : x
  2. Step 2: Convert to fraction form
    18,969.60/28,457.70 = 7,870.20/x
  3. Step 3: Cross multiply
    18,969.60x = 28,457.70 × 7,870.20
  4. Step 4: Simplify right side
    18,969.60x = 223,967,790.54
  5. Step 5: Solve for x
    x = 223,967,790.54/18,969.60
  6. Step 6: Final answer
    x = 11,806.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.