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Finding the Fourth Proportional to 14,401.67, 21,574.53 and 9,456.30

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Solution

The fourth proportional to 14,401.67, 21,574.53 and 9,456.30 is: 14,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.67 : 21,574.53 = 9,456.30 : x
  2. Step 2: Convert to fraction form
    14,401.67/21,574.53 = 9,456.30/x
  3. Step 3: Cross multiply
    14,401.67x = 21,574.53 × 9,456.30
  4. Step 4: Simplify right side
    14,401.67x = 204,015,228.04
  5. Step 5: Solve for x
    x = 204,015,228.04/14,401.67
  6. Step 6: Final answer
    x = 14,166.09

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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.