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Finding the Fourth Proportional to 16,315.91, 22,516.85 and 9,243.71

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Solution

The fourth proportional to 16,315.91, 22,516.85 and 9,243.71 is: 12,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.91 : 22,516.85 = 9,243.71 : x
  2. Step 2: Convert to fraction form
    16,315.91/22,516.85 = 9,243.71/x
  3. Step 3: Cross multiply
    16,315.91x = 22,516.85 × 9,243.71
  4. Step 4: Simplify right side
    16,315.91x = 208,139,185.29
  5. Step 5: Solve for x
    x = 208,139,185.29/16,315.91
  6. Step 6: Final answer
    x = 12,756.82

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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.