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Finding the Fourth Proportional to 24,945, 34,424.15 and 13,767

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Solution

The fourth proportional to 24,945, 34,424.15 and 13,767 is: 18,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945 : 34,424.15 = 13,767 : x
  2. Step 2: Convert to fraction form
    24,945/34,424.15 = 13,767/x
  3. Step 3: Cross multiply
    24,945x = 34,424.15 × 13,767
  4. Step 4: Simplify right side
    24,945x = 473,917,204.22
  5. Step 5: Solve for x
    x = 473,917,204.22/24,945
  6. Step 6: Final answer
    x = 18,998.48

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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.