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Finding the Fourth Proportional to 12,467.69, 18,709.65 and 6,628.40

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Solution

The fourth proportional to 12,467.69, 18,709.65 and 6,628.40 is: 9,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.69 : 18,709.65 = 6,628.40 : x
  2. Step 2: Convert to fraction form
    12,467.69/18,709.65 = 6,628.40/x
  3. Step 3: Cross multiply
    12,467.69x = 18,709.65 × 6,628.40
  4. Step 4: Simplify right side
    12,467.69x = 124,015,044.06
  5. Step 5: Solve for x
    x = 124,015,044.06/12,467.69
  6. Step 6: Final answer
    x = 9,946.91

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