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Finding the Fourth Proportional to 24,608.79, 33,956.96 and 13,852.31

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Solution

The fourth proportional to 24,608.79, 33,956.96 and 13,852.31 is: 19,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.79 : 33,956.96 = 13,852.31 : x
  2. Step 2: Convert to fraction form
    24,608.79/33,956.96 = 13,852.31/x
  3. Step 3: Cross multiply
    24,608.79x = 33,956.96 × 13,852.31
  4. Step 4: Simplify right side
    24,608.79x = 470,382,097.53
  5. Step 5: Solve for x
    x = 470,382,097.53/24,608.79
  6. Step 6: Final answer
    x = 19,114.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.