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Finding the Fourth Proportional to 24,874.08, 34,324.20 and 13,696.08

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Solution

The fourth proportional to 24,874.08, 34,324.20 and 13,696.08 is: 18,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.08 : 34,324.20 = 13,696.08 : x
  2. Step 2: Convert to fraction form
    24,874.08/34,324.20 = 13,696.08/x
  3. Step 3: Cross multiply
    24,874.08x = 34,324.20 × 13,696.08
  4. Step 4: Simplify right side
    24,874.08x = 470,106,989.14
  5. Step 5: Solve for x
    x = 470,106,989.14/24,874.08
  6. Step 6: Final answer
    x = 18,899.47

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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.