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Finding the Fourth Proportional to 16,315.19, 22,516.53 and 9,146.31

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Solution

The fourth proportional to 16,315.19, 22,516.53 and 9,146.31 is: 12,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.19 : 22,516.53 = 9,146.31 : x
  2. Step 2: Convert to fraction form
    16,315.19/22,516.53 = 9,146.31/x
  3. Step 3: Cross multiply
    16,315.19x = 22,516.53 × 9,146.31
  4. Step 4: Simplify right side
    16,315.19x = 205,943,163.50
  5. Step 5: Solve for x
    x = 205,943,163.50/16,315.19
  6. Step 6: Final answer
    x = 12,622.79

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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.