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Finding the Fourth Proportional to 24,712.80, 37,052.82 and 13,624.80

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Solution

The fourth proportional to 24,712.80, 37,052.82 and 13,624.80 is: 20,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.80 : 37,052.82 = 13,624.80 : x
  2. Step 2: Convert to fraction form
    24,712.80/37,052.82 = 13,624.80/x
  3. Step 3: Cross multiply
    24,712.80x = 37,052.82 × 13,624.80
  4. Step 4: Simplify right side
    24,712.80x = 504,837,261.94
  5. Step 5: Solve for x
    x = 504,837,261.94/24,712.80
  6. Step 6: Final answer
    x = 20,428.17

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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.