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Finding the Fourth Proportional to 10,823.81, 16,249.74 and 10,379.63

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Solution

The fourth proportional to 10,823.81, 16,249.74 and 10,379.63 is: 15,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.81 : 16,249.74 = 10,379.63 : x
  2. Step 2: Convert to fraction form
    10,823.81/16,249.74 = 10,379.63/x
  3. Step 3: Cross multiply
    10,823.81x = 16,249.74 × 10,379.63
  4. Step 4: Simplify right side
    10,823.81x = 168,666,207.55
  5. Step 5: Solve for x
    x = 168,666,207.55/10,823.81
  6. Step 6: Final answer
    x = 15,582.89

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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.