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Finding the Fourth Proportional to 24,638.82, 36,961.88 and 9,055.23

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Solution

The fourth proportional to 24,638.82, 36,961.88 and 9,055.23 is: 13,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.82 : 36,961.88 = 9,055.23 : x
  2. Step 2: Convert to fraction form
    24,638.82/36,961.88 = 9,055.23/x
  3. Step 3: Cross multiply
    24,638.82x = 36,961.88 × 9,055.23
  4. Step 4: Simplify right side
    24,638.82x = 334,698,324.63
  5. Step 5: Solve for x
    x = 334,698,324.63/24,638.82
  6. Step 6: Final answer
    x = 13,584.19

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1.5x scale

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.