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Finding the Fourth Proportional to 14,574.20, 21,812.70 and 12,824.60

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Solution

The fourth proportional to 14,574.20, 21,812.70 and 12,824.60 is: 19,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.20 : 21,812.70 = 12,824.60 : x
  2. Step 2: Convert to fraction form
    14,574.20/21,812.70 = 12,824.60/x
  3. Step 3: Cross multiply
    14,574.20x = 21,812.70 × 12,824.60
  4. Step 4: Simplify right side
    14,574.20x = 279,739,152.42
  5. Step 5: Solve for x
    x = 279,739,152.42/14,574.20
  6. Step 6: Final answer
    x = 19,194.13

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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.