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Finding the Fourth Proportional to 12,788.96, 17,647.50 and 9,433.58

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Solution

The fourth proportional to 12,788.96, 17,647.50 and 9,433.58 is: 13,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.96 : 17,647.50 = 9,433.58 : x
  2. Step 2: Convert to fraction form
    12,788.96/17,647.50 = 9,433.58/x
  3. Step 3: Cross multiply
    12,788.96x = 17,647.50 × 9,433.58
  4. Step 4: Simplify right side
    12,788.96x = 166,479,103.05
  5. Step 5: Solve for x
    x = 166,479,103.05/12,788.96
  6. Step 6: Final answer
    x = 13,017.41

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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.