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Finding the Fourth Proportional to 24,612.80, 33,968.79 and 13,858.25

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Solution

The fourth proportional to 24,612.80, 33,968.79 and 13,858.25 is: 19,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612.80 : 33,968.79 = 13,858.25 : x
  2. Step 2: Convert to fraction form
    24,612.80/33,968.79 = 13,858.25/x
  3. Step 3: Cross multiply
    24,612.80x = 33,968.79 × 13,858.25
  4. Step 4: Simplify right side
    24,612.80x = 470,747,814.17
  5. Step 5: Solve for x
    x = 470,747,814.17/24,612.80
  6. Step 6: Final answer
    x = 19,126.14

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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.