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Finding the Fourth Proportional to 12,930.74, 19,399.18 and 4,611.50

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Solution

The fourth proportional to 12,930.74, 19,399.18 and 4,611.50 is: 6,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.74 : 19,399.18 = 4,611.50 : x
  2. Step 2: Convert to fraction form
    12,930.74/19,399.18 = 4,611.50/x
  3. Step 3: Cross multiply
    12,930.74x = 19,399.18 × 4,611.50
  4. Step 4: Simplify right side
    12,930.74x = 89,459,318.57
  5. Step 5: Solve for x
    x = 89,459,318.57/12,930.74
  6. Step 6: Final answer
    x = 6,918.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.