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Finding the Fourth Proportional to 24,455.74, 33,749.07 and 14,384.61

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Solution

The fourth proportional to 24,455.74, 33,749.07 and 14,384.61 is: 19,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455.74 : 33,749.07 = 14,384.61 : x
  2. Step 2: Convert to fraction form
    24,455.74/33,749.07 = 14,384.61/x
  3. Step 3: Cross multiply
    24,455.74x = 33,749.07 × 14,384.61
  4. Step 4: Simplify right side
    24,455.74x = 485,467,209.81
  5. Step 5: Solve for x
    x = 485,467,209.81/24,455.74
  6. Step 6: Final answer
    x = 19,850.85

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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.