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Finding the Fourth Proportional to 16,358.94, 22,576.24 and 9,648.50

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Solution

The fourth proportional to 16,358.94, 22,576.24 and 9,648.50 is: 13,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.94 : 22,576.24 = 9,648.50 : x
  2. Step 2: Convert to fraction form
    16,358.94/22,576.24 = 9,648.50/x
  3. Step 3: Cross multiply
    16,358.94x = 22,576.24 × 9,648.50
  4. Step 4: Simplify right side
    16,358.94x = 217,826,851.64
  5. Step 5: Solve for x
    x = 217,826,851.64/16,358.94
  6. Step 6: Final answer
    x = 13,315.46

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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.