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Finding the Fourth Proportional to 26,761.96, 36,931 and 14,824.96

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Solution

The fourth proportional to 26,761.96, 36,931 and 14,824.96 is: 20,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,761.96 : 36,931 = 14,824.96 : x
  2. Step 2: Convert to fraction form
    26,761.96/36,931 = 14,824.96/x
  3. Step 3: Cross multiply
    26,761.96x = 36,931 × 14,824.96
  4. Step 4: Simplify right side
    26,761.96x = 547,500,597.76
  5. Step 5: Solve for x
    x = 547,500,597.76/26,761.96
  6. Step 6: Final answer
    x = 20,458.17

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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.