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Finding the Fourth Proportional to 12,989.40, 19,472.13 and 4,219.80

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Solution

The fourth proportional to 12,989.40, 19,472.13 and 4,219.80 is: 6,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.40 : 19,472.13 = 4,219.80 : x
  2. Step 2: Convert to fraction form
    12,989.40/19,472.13 = 4,219.80/x
  3. Step 3: Cross multiply
    12,989.40x = 19,472.13 × 4,219.80
  4. Step 4: Simplify right side
    12,989.40x = 82,168,494.17
  5. Step 5: Solve for x
    x = 82,168,494.17/12,989.40
  6. Step 6: Final answer
    x = 6,325.81

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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.