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Finding the Fourth Proportional to 24,607.50, 33,958.38 and 13,429.50

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Solution

The fourth proportional to 24,607.50, 33,958.38 and 13,429.50 is: 18,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.50 : 33,958.38 = 13,429.50 : x
  2. Step 2: Convert to fraction form
    24,607.50/33,958.38 = 13,429.50/x
  3. Step 3: Cross multiply
    24,607.50x = 33,958.38 × 13,429.50
  4. Step 4: Simplify right side
    24,607.50x = 456,044,064.21
  5. Step 5: Solve for x
    x = 456,044,064.21/24,607.50
  6. Step 6: Final answer
    x = 18,532.73

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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.