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Finding the Fourth Proportional to 19,313.70, 28,970.55 and 6,847.80

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Solution

The fourth proportional to 19,313.70, 28,970.55 and 6,847.80 is: 10,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,313.70 : 28,970.55 = 6,847.80 : x
  2. Step 2: Convert to fraction form
    19,313.70/28,970.55 = 6,847.80/x
  3. Step 3: Cross multiply
    19,313.70x = 28,970.55 × 6,847.80
  4. Step 4: Simplify right side
    19,313.70x = 198,384,532.29
  5. Step 5: Solve for x
    x = 198,384,532.29/19,313.70
  6. Step 6: Final answer
    x = 10,271.70

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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.