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Finding the Fourth Proportional to 24,309.24, 33,546.24 and 13,698.87

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Solution

The fourth proportional to 24,309.24, 33,546.24 and 13,698.87 is: 18,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.24 : 33,546.24 = 13,698.87 : x
  2. Step 2: Convert to fraction form
    24,309.24/33,546.24 = 13,698.87/x
  3. Step 3: Cross multiply
    24,309.24x = 33,546.24 × 13,698.87
  4. Step 4: Simplify right side
    24,309.24x = 459,545,580.75
  5. Step 5: Solve for x
    x = 459,545,580.75/24,309.24
  6. Step 6: Final answer
    x = 18,904.15

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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.