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Finding the Fourth Proportional to 19,383.50, 29,075.36 and 7,696.72

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Solution

The fourth proportional to 19,383.50, 29,075.36 and 7,696.72 is: 11,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,383.50 : 29,075.36 = 7,696.72 : x
  2. Step 2: Convert to fraction form
    19,383.50/29,075.36 = 7,696.72/x
  3. Step 3: Cross multiply
    19,383.50x = 29,075.36 × 7,696.72
  4. Step 4: Simplify right side
    19,383.50x = 223,784,902.68
  5. Step 5: Solve for x
    x = 223,784,902.68/19,383.50
  6. Step 6: Final answer
    x = 11,545.12

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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.