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Finding the Fourth Proportional to 11,200.70, 16,804.08 and 9,976.65

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Solution

The fourth proportional to 11,200.70, 16,804.08 and 9,976.65 is: 14,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.70 : 16,804.08 = 9,976.65 : x
  2. Step 2: Convert to fraction form
    11,200.70/16,804.08 = 9,976.65/x
  3. Step 3: Cross multiply
    11,200.70x = 16,804.08 × 9,976.65
  4. Step 4: Simplify right side
    11,200.70x = 167,648,424.73
  5. Step 5: Solve for x
    x = 167,648,424.73/11,200.70
  6. Step 6: Final answer
    x = 14,967.68

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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.