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Finding the Fourth Proportional to 16,484.81, 22,756.89 and 9,409.86

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Solution

The fourth proportional to 16,484.81, 22,756.89 and 9,409.86 is: 12,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.81 : 22,756.89 = 9,409.86 : x
  2. Step 2: Convert to fraction form
    16,484.81/22,756.89 = 9,409.86/x
  3. Step 3: Cross multiply
    16,484.81x = 22,756.89 × 9,409.86
  4. Step 4: Simplify right side
    16,484.81x = 214,139,148.94
  5. Step 5: Solve for x
    x = 214,139,148.94/16,484.81
  6. Step 6: Final answer
    x = 12,990.09

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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.