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Finding the Fourth Proportional to 24,489.84, 33,795.24 and 14,415.96

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Solution

The fourth proportional to 24,489.84, 33,795.24 and 14,415.96 is: 19,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.84 : 33,795.24 = 14,415.96 : x
  2. Step 2: Convert to fraction form
    24,489.84/33,795.24 = 14,415.96/x
  3. Step 3: Cross multiply
    24,489.84x = 33,795.24 × 14,415.96
  4. Step 4: Simplify right side
    24,489.84x = 487,190,828.03
  5. Step 5: Solve for x
    x = 487,190,828.03/24,489.84
  6. Step 6: Final answer
    x = 19,893.59

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1.5x scale

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.