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Finding the Fourth Proportional to 16,315.30, 22,516.41 and 9,243.46

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Solution

The fourth proportional to 16,315.30, 22,516.41 and 9,243.46 is: 12,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.30 : 22,516.41 = 9,243.46 : x
  2. Step 2: Convert to fraction form
    16,315.30/22,516.41 = 9,243.46/x
  3. Step 3: Cross multiply
    16,315.30x = 22,516.41 × 9,243.46
  4. Step 4: Simplify right side
    16,315.30x = 208,129,535.18
  5. Step 5: Solve for x
    x = 208,129,535.18/16,315.30
  6. Step 6: Final answer
    x = 12,756.71

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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.