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Finding the Fourth Proportional to 14,142.96, 19,486.22 and 10,542.60

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Solution

The fourth proportional to 14,142.96, 19,486.22 and 10,542.60 is: 14,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.96 : 19,486.22 = 10,542.60 : x
  2. Step 2: Convert to fraction form
    14,142.96/19,486.22 = 10,542.60/x
  3. Step 3: Cross multiply
    14,142.96x = 19,486.22 × 10,542.60
  4. Step 4: Simplify right side
    14,142.96x = 205,435,422.97
  5. Step 5: Solve for x
    x = 205,435,422.97/14,142.96
  6. Step 6: Final answer
    x = 14,525.63

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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.