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Finding the Fourth Proportional to 13,185, 19,772.01 and 4,865.49

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Solution

The fourth proportional to 13,185, 19,772.01 and 4,865.49 is: 7,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185 : 19,772.01 = 4,865.49 : x
  2. Step 2: Convert to fraction form
    13,185/19,772.01 = 4,865.49/x
  3. Step 3: Cross multiply
    13,185x = 19,772.01 × 4,865.49
  4. Step 4: Simplify right side
    13,185x = 96,200,516.93
  5. Step 5: Solve for x
    x = 96,200,516.93/13,185
  6. Step 6: Final answer
    x = 7,296.21

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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.