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Finding the Fourth Proportional to 24,456.84, 33,764.76 and 17,736

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Solution

The fourth proportional to 24,456.84, 33,764.76 and 17,736 is: 24,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.84 : 33,764.76 = 17,736 : x
  2. Step 2: Convert to fraction form
    24,456.84/33,764.76 = 17,736/x
  3. Step 3: Cross multiply
    24,456.84x = 33,764.76 × 17,736
  4. Step 4: Simplify right side
    24,456.84x = 598,851,783.36
  5. Step 5: Solve for x
    x = 598,851,783.36/24,456.84
  6. Step 6: Final answer
    x = 24,486.07

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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.