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Finding the Fourth Proportional to 16,405.70, 24,576.15 and 9,812.30

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Solution

The fourth proportional to 16,405.70, 24,576.15 and 9,812.30 is: 14,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.70 : 24,576.15 = 9,812.30 : x
  2. Step 2: Convert to fraction form
    16,405.70/24,576.15 = 9,812.30/x
  3. Step 3: Cross multiply
    16,405.70x = 24,576.15 × 9,812.30
  4. Step 4: Simplify right side
    16,405.70x = 241,148,556.65
  5. Step 5: Solve for x
    x = 241,148,556.65/16,405.70
  6. Step 6: Final answer
    x = 14,699.07

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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.