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Finding the Fourth Proportional to 24,509.64, 33,814.14 and 14,431.92

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Solution

The fourth proportional to 24,509.64, 33,814.14 and 14,431.92 is: 19,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.64 : 33,814.14 = 14,431.92 : x
  2. Step 2: Convert to fraction form
    24,509.64/33,814.14 = 14,431.92/x
  3. Step 3: Cross multiply
    24,509.64x = 33,814.14 × 14,431.92
  4. Step 4: Simplify right side
    24,509.64x = 488,002,963.35
  5. Step 5: Solve for x
    x = 488,002,963.35/24,509.64
  6. Step 6: Final answer
    x = 19,910.65

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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.