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Finding the Fourth Proportional to 24,636, 36,958.86 and 12,597.78

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Solution

The fourth proportional to 24,636, 36,958.86 and 12,597.78 is: 18,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,636 : 36,958.86 = 12,597.78 : x
  2. Step 2: Convert to fraction form
    24,636/36,958.86 = 12,597.78/x
  3. Step 3: Cross multiply
    24,636x = 36,958.86 × 12,597.78
  4. Step 4: Simplify right side
    24,636x = 465,599,587.33
  5. Step 5: Solve for x
    x = 465,599,587.33/24,636
  6. Step 6: Final answer
    x = 18,899.16

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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.