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Finding the Fourth Proportional to 12,871.68, 19,290.06 and 5,466.86

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Solution

The fourth proportional to 12,871.68, 19,290.06 and 5,466.86 is: 8,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.68 : 19,290.06 = 5,466.86 : x
  2. Step 2: Convert to fraction form
    12,871.68/19,290.06 = 5,466.86/x
  3. Step 3: Cross multiply
    12,871.68x = 19,290.06 × 5,466.86
  4. Step 4: Simplify right side
    12,871.68x = 105,455,960.96
  5. Step 5: Solve for x
    x = 105,455,960.96/12,871.68
  6. Step 6: Final answer
    x = 8,192.87

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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.