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Finding the Fourth Proportional to 24,382.48, 33,647.80 and 13,204.48

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Solution

The fourth proportional to 24,382.48, 33,647.80 and 13,204.48 is: 18,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.48 : 33,647.80 = 13,204.48 : x
  2. Step 2: Convert to fraction form
    24,382.48/33,647.80 = 13,204.48/x
  3. Step 3: Cross multiply
    24,382.48x = 33,647.80 × 13,204.48
  4. Step 4: Simplify right side
    24,382.48x = 444,301,702.14
  5. Step 5: Solve for x
    x = 444,301,702.14/24,382.48
  6. Step 6: Final answer
    x = 18,222.17

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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.