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Finding the Fourth Proportional to 12,788.08, 17,648.09 and 7,122.83

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Solution

The fourth proportional to 12,788.08, 17,648.09 and 7,122.83 is: 9,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.08 : 17,648.09 = 7,122.83 : x
  2. Step 2: Convert to fraction form
    12,788.08/17,648.09 = 7,122.83/x
  3. Step 3: Cross multiply
    12,788.08x = 17,648.09 × 7,122.83
  4. Step 4: Simplify right side
    12,788.08x = 125,704,274.46
  5. Step 5: Solve for x
    x = 125,704,274.46/12,788.08
  6. Step 6: Final answer
    x = 9,829.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.