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Finding the Fourth Proportional to 12,410.40, 18,610.68 and 9,782.96

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Solution

The fourth proportional to 12,410.40, 18,610.68 and 9,782.96 is: 14,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.40 : 18,610.68 = 9,782.96 : x
  2. Step 2: Convert to fraction form
    12,410.40/18,610.68 = 9,782.96/x
  3. Step 3: Cross multiply
    12,410.40x = 18,610.68 × 9,782.96
  4. Step 4: Simplify right side
    12,410.40x = 182,067,444.96
  5. Step 5: Solve for x
    x = 182,067,444.96/12,410.40
  6. Step 6: Final answer
    x = 14,670.55

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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.