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Finding the Fourth Proportional to 24,659.86, 34,027.14 and 14,047.24

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Solution

The fourth proportional to 24,659.86, 34,027.14 and 14,047.24 is: 19,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659.86 : 34,027.14 = 14,047.24 : x
  2. Step 2: Convert to fraction form
    24,659.86/34,027.14 = 14,047.24/x
  3. Step 3: Cross multiply
    24,659.86x = 34,027.14 × 14,047.24
  4. Step 4: Simplify right side
    24,659.86x = 477,987,402.09
  5. Step 5: Solve for x
    x = 477,987,402.09/24,659.86
  6. Step 6: Final answer
    x = 19,383.22

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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.