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Finding the Fourth Proportional to 12,900.20, 17,812.51 and 10,374.21

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Solution

The fourth proportional to 12,900.20, 17,812.51 and 10,374.21 is: 14,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.20 : 17,812.51 = 10,374.21 : x
  2. Step 2: Convert to fraction form
    12,900.20/17,812.51 = 10,374.21/x
  3. Step 3: Cross multiply
    12,900.20x = 17,812.51 × 10,374.21
  4. Step 4: Simplify right side
    12,900.20x = 184,790,693.43
  5. Step 5: Solve for x
    x = 184,790,693.43/12,900.20
  6. Step 6: Final answer
    x = 14,324.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.