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Finding the Fourth Proportional to 17,669.84, 24,406.01 and 13,213.41

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Solution

The fourth proportional to 17,669.84, 24,406.01 and 13,213.41 is: 18,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.84 : 24,406.01 = 13,213.41 : x
  2. Step 2: Convert to fraction form
    17,669.84/24,406.01 = 13,213.41/x
  3. Step 3: Cross multiply
    17,669.84x = 24,406.01 × 13,213.41
  4. Step 4: Simplify right side
    17,669.84x = 322,486,550.53
  5. Step 5: Solve for x
    x = 322,486,550.53/17,669.84
  6. Step 6: Final answer
    x = 18,250.68

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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.