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Finding the Fourth Proportional to 14,966.20, 22,391.70 and 9,782.20

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Solution

The fourth proportional to 14,966.20, 22,391.70 and 9,782.20 is: 14,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.20 : 22,391.70 = 9,782.20 : x
  2. Step 2: Convert to fraction form
    14,966.20/22,391.70 = 9,782.20/x
  3. Step 3: Cross multiply
    14,966.20x = 22,391.70 × 9,782.20
  4. Step 4: Simplify right side
    14,966.20x = 219,040,087.74
  5. Step 5: Solve for x
    x = 219,040,087.74/14,966.20
  6. Step 6: Final answer
    x = 14,635.65

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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.