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Finding the Fourth Proportional to 16,095.78, 24,150.61 and 7,782.06

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Solution

The fourth proportional to 16,095.78, 24,150.61 and 7,782.06 is: 11,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.78 : 24,150.61 = 7,782.06 : x
  2. Step 2: Convert to fraction form
    16,095.78/24,150.61 = 7,782.06/x
  3. Step 3: Cross multiply
    16,095.78x = 24,150.61 × 7,782.06
  4. Step 4: Simplify right side
    16,095.78x = 187,941,416.73
  5. Step 5: Solve for x
    x = 187,941,416.73/16,095.78
  6. Step 6: Final answer
    x = 11,676.44

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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.