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Finding the Fourth Proportional to 14,163.30, 21,220.65 and 9,230.40

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Solution

The fourth proportional to 14,163.30, 21,220.65 and 9,230.40 is: 13,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.30 : 21,220.65 = 9,230.40 : x
  2. Step 2: Convert to fraction form
    14,163.30/21,220.65 = 9,230.40/x
  3. Step 3: Cross multiply
    14,163.30x = 21,220.65 × 9,230.40
  4. Step 4: Simplify right side
    14,163.30x = 195,875,087.76
  5. Step 5: Solve for x
    x = 195,875,087.76/14,163.30
  6. Step 6: Final answer
    x = 13,829.76

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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.