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Finding the Fourth Proportional to 29,509.20, 40,722.54 and 16,938

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Solution

The fourth proportional to 29,509.20, 40,722.54 and 16,938 is: 23,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.20 : 40,722.54 = 16,938 : x
  2. Step 2: Convert to fraction form
    29,509.20/40,722.54 = 16,938/x
  3. Step 3: Cross multiply
    29,509.20x = 40,722.54 × 16,938
  4. Step 4: Simplify right side
    29,509.20x = 689,758,382.52
  5. Step 5: Solve for x
    x = 689,758,382.52/29,509.20
  6. Step 6: Final answer
    x = 23,374.35

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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.