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Finding the Fourth Proportional to 26,597, 36,676.58 and 17,524.74

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Solution

The fourth proportional to 26,597, 36,676.58 and 17,524.74 is: 24,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597 : 36,676.58 = 17,524.74 : x
  2. Step 2: Convert to fraction form
    26,597/36,676.58 = 17,524.74/x
  3. Step 3: Cross multiply
    26,597x = 36,676.58 × 17,524.74
  4. Step 4: Simplify right side
    26,597x = 642,747,528.59
  5. Step 5: Solve for x
    x = 642,747,528.59/26,597
  6. Step 6: Final answer
    x = 24,166.17

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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.