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Finding the Fourth Proportional to 17,914.22, 24,718.12 and 12,242.60

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Solution

The fourth proportional to 17,914.22, 24,718.12 and 12,242.60 is: 16,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.22 : 24,718.12 = 12,242.60 : x
  2. Step 2: Convert to fraction form
    17,914.22/24,718.12 = 12,242.60/x
  3. Step 3: Cross multiply
    17,914.22x = 24,718.12 × 12,242.60
  4. Step 4: Simplify right side
    17,914.22x = 302,614,055.91
  5. Step 5: Solve for x
    x = 302,614,055.91/17,914.22
  6. Step 6: Final answer
    x = 16,892.39

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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.