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Finding the Fourth Proportional to 12,847.63, 19,271.07 and 5,822.57

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Solution

The fourth proportional to 12,847.63, 19,271.07 and 5,822.57 is: 8,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.63 : 19,271.07 = 5,822.57 : x
  2. Step 2: Convert to fraction form
    12,847.63/19,271.07 = 5,822.57/x
  3. Step 3: Cross multiply
    12,847.63x = 19,271.07 × 5,822.57
  4. Step 4: Simplify right side
    12,847.63x = 112,207,154.05
  5. Step 5: Solve for x
    x = 112,207,154.05/12,847.63
  6. Step 6: Final answer
    x = 8,733.69

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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.