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Finding the Fourth Proportional to 12,319.63, 18,479.45 and 7,383.09

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Solution

The fourth proportional to 12,319.63, 18,479.45 and 7,383.09 is: 11,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.63 : 18,479.45 = 7,383.09 : x
  2. Step 2: Convert to fraction form
    12,319.63/18,479.45 = 7,383.09/x
  3. Step 3: Cross multiply
    12,319.63x = 18,479.45 × 7,383.09
  4. Step 4: Simplify right side
    12,319.63x = 136,435,442.50
  5. Step 5: Solve for x
    x = 136,435,442.50/12,319.63
  6. Step 6: Final answer
    x = 11,074.64

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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.