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Finding the Fourth Proportional to 16,246.96, 22,421.32 and 9,173.68

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Solution

The fourth proportional to 16,246.96, 22,421.32 and 9,173.68 is: 12,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.96 : 22,421.32 = 9,173.68 : x
  2. Step 2: Convert to fraction form
    16,246.96/22,421.32 = 9,173.68/x
  3. Step 3: Cross multiply
    16,246.96x = 22,421.32 × 9,173.68
  4. Step 4: Simplify right side
    16,246.96x = 205,686,014.86
  5. Step 5: Solve for x
    x = 205,686,014.86/16,246.96
  6. Step 6: Final answer
    x = 12,659.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.