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Finding the Fourth Proportional to 24,739.96, 34,142.88 and 13,984.91

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Solution

The fourth proportional to 24,739.96, 34,142.88 and 13,984.91 is: 19,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.96 : 34,142.88 = 13,984.91 : x
  2. Step 2: Convert to fraction form
    24,739.96/34,142.88 = 13,984.91/x
  3. Step 3: Cross multiply
    24,739.96x = 34,142.88 × 13,984.91
  4. Step 4: Simplify right side
    24,739.96x = 477,485,103.94
  5. Step 5: Solve for x
    x = 477,485,103.94/24,739.96
  6. Step 6: Final answer
    x = 19,300.16

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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.