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Finding the Fourth Proportional to 13,091.70, 19,628.91 and 5,292.66

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Solution

The fourth proportional to 13,091.70, 19,628.91 and 5,292.66 is: 7,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.70 : 19,628.91 = 5,292.66 : x
  2. Step 2: Convert to fraction form
    13,091.70/19,628.91 = 5,292.66/x
  3. Step 3: Cross multiply
    13,091.70x = 19,628.91 × 5,292.66
  4. Step 4: Simplify right side
    13,091.70x = 103,889,146.80
  5. Step 5: Solve for x
    x = 103,889,146.80/13,091.70
  6. Step 6: Final answer
    x = 7,935.50

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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.