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Finding the Fourth Proportional to 17,768.68, 24,522.70 and 13,284.74

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Solution

The fourth proportional to 17,768.68, 24,522.70 and 13,284.74 is: 18,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.68 : 24,522.70 = 13,284.74 : x
  2. Step 2: Convert to fraction form
    17,768.68/24,522.70 = 13,284.74/x
  3. Step 3: Cross multiply
    17,768.68x = 24,522.70 × 13,284.74
  4. Step 4: Simplify right side
    17,768.68x = 325,777,693.60
  5. Step 5: Solve for x
    x = 325,777,693.60/17,768.68
  6. Step 6: Final answer
    x = 18,334.38

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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.