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Finding the Fourth Proportional to 24,238.13, 33,449.02 and 14,678.30

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Solution

The fourth proportional to 24,238.13, 33,449.02 and 14,678.30 is: 20,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.13 : 33,449.02 = 14,678.30 : x
  2. Step 2: Convert to fraction form
    24,238.13/33,449.02 = 14,678.30/x
  3. Step 3: Cross multiply
    24,238.13x = 33,449.02 × 14,678.30
  4. Step 4: Simplify right side
    24,238.13x = 490,974,750.27
  5. Step 5: Solve for x
    x = 490,974,750.27/24,238.13
  6. Step 6: Final answer
    x = 20,256.30

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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.