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Finding the Fourth Proportional to 15,806.57, 23,709.61 and 4,713.30

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Solution

The fourth proportional to 15,806.57, 23,709.61 and 4,713.30 is: 7,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.57 : 23,709.61 = 4,713.30 : x
  2. Step 2: Convert to fraction form
    15,806.57/23,709.61 = 4,713.30/x
  3. Step 3: Cross multiply
    15,806.57x = 23,709.61 × 4,713.30
  4. Step 4: Simplify right side
    15,806.57x = 111,750,504.81
  5. Step 5: Solve for x
    x = 111,750,504.81/15,806.57
  6. Step 6: Final answer
    x = 7,069.88

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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.