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Finding the Fourth Proportional to 17,843, 26,762.46 and 4,696.38

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Solution

The fourth proportional to 17,843, 26,762.46 and 4,696.38 is: 7,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843 : 26,762.46 = 4,696.38 : x
  2. Step 2: Convert to fraction form
    17,843/26,762.46 = 4,696.38/x
  3. Step 3: Cross multiply
    17,843x = 26,762.46 × 4,696.38
  4. Step 4: Simplify right side
    17,843x = 125,686,681.89
  5. Step 5: Solve for x
    x = 125,686,681.89/17,843
  6. Step 6: Final answer
    x = 7,044.03

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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.