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Finding the Fourth Proportional to 16,576.95, 22,896.75 and 12,032.38

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Solution

The fourth proportional to 16,576.95, 22,896.75 and 12,032.38 is: 16,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.95 : 22,896.75 = 12,032.38 : x
  2. Step 2: Convert to fraction form
    16,576.95/22,896.75 = 12,032.38/x
  3. Step 3: Cross multiply
    16,576.95x = 22,896.75 × 12,032.38
  4. Step 4: Simplify right side
    16,576.95x = 275,502,294.40
  5. Step 5: Solve for x
    x = 275,502,294.40/16,576.95
  6. Step 6: Final answer
    x = 16,619.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.