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Finding the Fourth Proportional to 12,772.33, 19,158.50 and 3,538.33

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Solution

The fourth proportional to 12,772.33, 19,158.50 and 3,538.33 is: 5,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.33 : 19,158.50 = 3,538.33 : x
  2. Step 2: Convert to fraction form
    12,772.33/19,158.50 = 3,538.33/x
  3. Step 3: Cross multiply
    12,772.33x = 19,158.50 × 3,538.33
  4. Step 4: Simplify right side
    12,772.33x = 67,789,104.15
  5. Step 5: Solve for x
    x = 67,789,104.15/12,772.33
  6. Step 6: Final answer
    x = 5,307.50

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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.