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Finding the Fourth Proportional to 13,065.03, 19,597.95 and 3,204.27

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Solution

The fourth proportional to 13,065.03, 19,597.95 and 3,204.27 is: 4,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.03 : 19,597.95 = 3,204.27 : x
  2. Step 2: Convert to fraction form
    13,065.03/19,597.95 = 3,204.27/x
  3. Step 3: Cross multiply
    13,065.03x = 19,597.95 × 3,204.27
  4. Step 4: Simplify right side
    13,065.03x = 62,797,123.25
  5. Step 5: Solve for x
    x = 62,797,123.25/13,065.03
  6. Step 6: Final answer
    x = 4,806.50

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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.