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Finding the Fourth Proportional to 19,796.96, 29,696.46 and 5,006

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Solution

The fourth proportional to 19,796.96, 29,696.46 and 5,006 is: 7,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.96 : 29,696.46 = 5,006 : x
  2. Step 2: Convert to fraction form
    19,796.96/29,696.46 = 5,006/x
  3. Step 3: Cross multiply
    19,796.96x = 29,696.46 × 5,006
  4. Step 4: Simplify right side
    19,796.96x = 148,660,478.76
  5. Step 5: Solve for x
    x = 148,660,478.76/19,796.96
  6. Step 6: Final answer
    x = 7,509.26

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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.