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Finding the Fourth Proportional to 12,358.44, 18,493.92 and 11,746.08

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Solution

The fourth proportional to 12,358.44, 18,493.92 and 11,746.08 is: 17,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.44 : 18,493.92 = 11,746.08 : x
  2. Step 2: Convert to fraction form
    12,358.44/18,493.92 = 11,746.08/x
  3. Step 3: Cross multiply
    12,358.44x = 18,493.92 × 11,746.08
  4. Step 4: Simplify right side
    12,358.44x = 217,231,063.83
  5. Step 5: Solve for x
    x = 217,231,063.83/12,358.44
  6. Step 6: Final answer
    x = 17,577.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.