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Finding the Fourth Proportional to 17,401.45, 26,077.20 and 10,823.80

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Solution

The fourth proportional to 17,401.45, 26,077.20 and 10,823.80 is: 16,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.45 : 26,077.20 = 10,823.80 : x
  2. Step 2: Convert to fraction form
    17,401.45/26,077.20 = 10,823.80/x
  3. Step 3: Cross multiply
    17,401.45x = 26,077.20 × 10,823.80
  4. Step 4: Simplify right side
    17,401.45x = 282,254,397.36
  5. Step 5: Solve for x
    x = 282,254,397.36/17,401.45
  6. Step 6: Final answer
    x = 16,220.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.