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Finding the Fourth Proportional to 13,420.14, 18,520.43 and 7,451.79

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Solution

The fourth proportional to 13,420.14, 18,520.43 and 7,451.79 is: 10,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.14 : 18,520.43 = 7,451.79 : x
  2. Step 2: Convert to fraction form
    13,420.14/18,520.43 = 7,451.79/x
  3. Step 3: Cross multiply
    13,420.14x = 18,520.43 × 7,451.79
  4. Step 4: Simplify right side
    13,420.14x = 138,010,317.81
  5. Step 5: Solve for x
    x = 138,010,317.81/13,420.14
  6. Step 6: Final answer
    x = 10,283.82

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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.