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Finding the Fourth Proportional to 16,183.81, 22,332.48 and 9,013.51

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Solution

The fourth proportional to 16,183.81, 22,332.48 and 9,013.51 is: 12,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.81 : 22,332.48 = 9,013.51 : x
  2. Step 2: Convert to fraction form
    16,183.81/22,332.48 = 9,013.51/x
  3. Step 3: Cross multiply
    16,183.81x = 22,332.48 × 9,013.51
  4. Step 4: Simplify right side
    16,183.81x = 201,294,031.80
  5. Step 5: Solve for x
    x = 201,294,031.80/16,183.81
  6. Step 6: Final answer
    x = 12,437.99

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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.