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Finding the Fourth Proportional to 24,447.76, 33,738.30 and 13,269.76

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Solution

The fourth proportional to 24,447.76, 33,738.30 and 13,269.76 is: 18,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.76 : 33,738.30 = 13,269.76 : x
  2. Step 2: Convert to fraction form
    24,447.76/33,738.30 = 13,269.76/x
  3. Step 3: Cross multiply
    24,447.76x = 33,738.30 × 13,269.76
  4. Step 4: Simplify right side
    24,447.76x = 447,699,143.81
  5. Step 5: Solve for x
    x = 447,699,143.81/24,447.76
  6. Step 6: Final answer
    x = 18,312.48

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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.