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Finding the Fourth Proportional to 12,846.47, 19,271.92 and 4,412.57

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Solution

The fourth proportional to 12,846.47, 19,271.92 and 4,412.57 is: 6,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.47 : 19,271.92 = 4,412.57 : x
  2. Step 2: Convert to fraction form
    12,846.47/19,271.92 = 4,412.57/x
  3. Step 3: Cross multiply
    12,846.47x = 19,271.92 × 4,412.57
  4. Step 4: Simplify right side
    12,846.47x = 85,038,774.21
  5. Step 5: Solve for x
    x = 85,038,774.21/12,846.47
  6. Step 6: Final answer
    x = 6,619.62

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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.