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Finding the Fourth Proportional to 23,924.50, 35,885.96 and 12,852.82

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Solution

The fourth proportional to 23,924.50, 35,885.96 and 12,852.82 is: 19,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.50 : 35,885.96 = 12,852.82 : x
  2. Step 2: Convert to fraction form
    23,924.50/35,885.96 = 12,852.82/x
  3. Step 3: Cross multiply
    23,924.50x = 35,885.96 × 12,852.82
  4. Step 4: Simplify right side
    23,924.50x = 461,235,784.41
  5. Step 5: Solve for x
    x = 461,235,784.41/23,924.50
  6. Step 6: Final answer
    x = 19,278.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.