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Finding the Fourth Proportional to 24,529.98, 33,858.62 and 14,461.68

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Solution

The fourth proportional to 24,529.98, 33,858.62 and 14,461.68 is: 19,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529.98 : 33,858.62 = 14,461.68 : x
  2. Step 2: Convert to fraction form
    24,529.98/33,858.62 = 14,461.68/x
  3. Step 3: Cross multiply
    24,529.98x = 33,858.62 × 14,461.68
  4. Step 4: Simplify right side
    24,529.98x = 489,652,527.68
  5. Step 5: Solve for x
    x = 489,652,527.68/24,529.98
  6. Step 6: Final answer
    x = 19,961.39

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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.