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Finding the Fourth Proportional to 24,514.49, 36,767.90 and 6,746.49

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Solution

The fourth proportional to 24,514.49, 36,767.90 and 6,746.49 is: 10,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.49 : 36,767.90 = 6,746.49 : x
  2. Step 2: Convert to fraction form
    24,514.49/36,767.90 = 6,746.49/x
  3. Step 3: Cross multiply
    24,514.49x = 36,767.90 × 6,746.49
  4. Step 4: Simplify right side
    24,514.49x = 248,054,052.10
  5. Step 5: Solve for x
    x = 248,054,052.10/24,514.49
  6. Step 6: Final answer
    x = 10,118.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.