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Finding the Fourth Proportional to 25,205.90, 34,740.19 and 18,477.22

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Solution

The fourth proportional to 25,205.90, 34,740.19 and 18,477.22 is: 25,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.90 : 34,740.19 = 18,477.22 : x
  2. Step 2: Convert to fraction form
    25,205.90/34,740.19 = 18,477.22/x
  3. Step 3: Cross multiply
    25,205.90x = 34,740.19 × 18,477.22
  4. Step 4: Simplify right side
    25,205.90x = 641,902,133.47
  5. Step 5: Solve for x
    x = 641,902,133.47/25,205.90
  6. Step 6: Final answer
    x = 25,466.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.