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Finding the Fourth Proportional to 17,401.90, 26,106.41 and 7,406.63

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Solution

The fourth proportional to 17,401.90, 26,106.41 and 7,406.63 is: 11,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.90 : 26,106.41 = 7,406.63 : x
  2. Step 2: Convert to fraction form
    17,401.90/26,106.41 = 7,406.63/x
  3. Step 3: Cross multiply
    17,401.90x = 26,106.41 × 7,406.63
  4. Step 4: Simplify right side
    17,401.90x = 193,360,519.50
  5. Step 5: Solve for x
    x = 193,360,519.50/17,401.90
  6. Step 6: Final answer
    x = 11,111.46

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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.