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Finding the Fourth Proportional to 14,282.30, 21,362.70 and 12,812.15

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Solution

The fourth proportional to 14,282.30, 21,362.70 and 12,812.15 is: 19,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.30 : 21,362.70 = 12,812.15 : x
  2. Step 2: Convert to fraction form
    14,282.30/21,362.70 = 12,812.15/x
  3. Step 3: Cross multiply
    14,282.30x = 21,362.70 × 12,812.15
  4. Step 4: Simplify right side
    14,282.30x = 273,702,116.81
  5. Step 5: Solve for x
    x = 273,702,116.81/14,282.30
  6. Step 6: Final answer
    x = 19,163.73

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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.