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Finding the Fourth Proportional to 16,401.20, 22,636.75 and 10,271.75

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Solution

The fourth proportional to 16,401.20, 22,636.75 and 10,271.75 is: 14,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.20 : 22,636.75 = 10,271.75 : x
  2. Step 2: Convert to fraction form
    16,401.20/22,636.75 = 10,271.75/x
  3. Step 3: Cross multiply
    16,401.20x = 22,636.75 × 10,271.75
  4. Step 4: Simplify right side
    16,401.20x = 232,519,030.99
  5. Step 5: Solve for x
    x = 232,519,030.99/16,401.20
  6. Step 6: Final answer
    x = 14,176.95

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