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Finding the Fourth Proportional to 13,966.96, 20,950.43 and 9,825.50

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Solution

The fourth proportional to 13,966.96, 20,950.43 and 9,825.50 is: 14,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.96 : 20,950.43 = 9,825.50 : x
  2. Step 2: Convert to fraction form
    13,966.96/20,950.43 = 9,825.50/x
  3. Step 3: Cross multiply
    13,966.96x = 20,950.43 × 9,825.50
  4. Step 4: Simplify right side
    13,966.96x = 205,848,417.36
  5. Step 5: Solve for x
    x = 205,848,417.36/13,966.96
  6. Step 6: Final answer
    x = 14,738.24

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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.