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Finding the Fourth Proportional to 16,089.67, 24,134.55 and 9,506.80

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Solution

The fourth proportional to 16,089.67, 24,134.55 and 9,506.80 is: 14,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.67 : 24,134.55 = 9,506.80 : x
  2. Step 2: Convert to fraction form
    16,089.67/24,134.55 = 9,506.80/x
  3. Step 3: Cross multiply
    16,089.67x = 24,134.55 × 9,506.80
  4. Step 4: Simplify right side
    16,089.67x = 229,442,339.94
  5. Step 5: Solve for x
    x = 229,442,339.94/16,089.67
  6. Step 6: Final answer
    x = 14,260.23

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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.