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Finding the Fourth Proportional to 16,897.50, 25,329.24 and 7,042.23

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Solution

The fourth proportional to 16,897.50, 25,329.24 and 7,042.23 is: 10,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897.50 : 25,329.24 = 7,042.23 : x
  2. Step 2: Convert to fraction form
    16,897.50/25,329.24 = 7,042.23/x
  3. Step 3: Cross multiply
    16,897.50x = 25,329.24 × 7,042.23
  4. Step 4: Simplify right side
    16,897.50x = 178,374,333.81
  5. Step 5: Solve for x
    x = 178,374,333.81/16,897.50
  6. Step 6: Final answer
    x = 10,556.26

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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.