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Finding the Fourth Proportional to 20,619.68, 30,931.54 and 5,828.70

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Solution

The fourth proportional to 20,619.68, 30,931.54 and 5,828.70 is: 8,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,619.68 : 30,931.54 = 5,828.70 : x
  2. Step 2: Convert to fraction form
    20,619.68/30,931.54 = 5,828.70/x
  3. Step 3: Cross multiply
    20,619.68x = 30,931.54 × 5,828.70
  4. Step 4: Simplify right side
    20,619.68x = 180,290,667.20
  5. Step 5: Solve for x
    x = 180,290,667.20/20,619.68
  6. Step 6: Final answer
    x = 8,743.62

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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.