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Finding the Fourth Proportional to 12,538.92, 18,697.87 and 12,426.49

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Solution

The fourth proportional to 12,538.92, 18,697.87 and 12,426.49 is: 18,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.92 : 18,697.87 = 12,426.49 : x
  2. Step 2: Convert to fraction form
    12,538.92/18,697.87 = 12,426.49/x
  3. Step 3: Cross multiply
    12,538.92x = 18,697.87 × 12,426.49
  4. Step 4: Simplify right side
    12,538.92x = 232,348,894.58
  5. Step 5: Solve for x
    x = 232,348,894.58/12,538.92
  6. Step 6: Final answer
    x = 18,530.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.