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Finding the Fourth Proportional to 14,723.62, 22,083 and 6,401.38

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Solution

The fourth proportional to 14,723.62, 22,083 and 6,401.38 is: 9,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723.62 : 22,083 = 6,401.38 : x
  2. Step 2: Convert to fraction form
    14,723.62/22,083 = 6,401.38/x
  3. Step 3: Cross multiply
    14,723.62x = 22,083 × 6,401.38
  4. Step 4: Simplify right side
    14,723.62x = 141,361,674.54
  5. Step 5: Solve for x
    x = 141,361,674.54/14,723.62
  6. Step 6: Final answer
    x = 9,601.01

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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.