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Finding the Fourth Proportional to 29,813.52, 41,140.84 and 16,382.16

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Solution

The fourth proportional to 29,813.52, 41,140.84 and 16,382.16 is: 22,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.52 : 41,140.84 = 16,382.16 : x
  2. Step 2: Convert to fraction form
    29,813.52/41,140.84 = 16,382.16/x
  3. Step 3: Cross multiply
    29,813.52x = 41,140.84 × 16,382.16
  4. Step 4: Simplify right side
    29,813.52x = 673,975,823.41
  5. Step 5: Solve for x
    x = 673,975,823.41/29,813.52
  6. Step 6: Final answer
    x = 22,606.38

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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.