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Finding the Fourth Proportional to 29,410.60, 44,133.26 and 11,643

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Solution

The fourth proportional to 29,410.60, 44,133.26 and 11,643 is: 17,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,410.60 : 44,133.26 = 11,643 : x
  2. Step 2: Convert to fraction form
    29,410.60/44,133.26 = 11,643/x
  3. Step 3: Cross multiply
    29,410.60x = 44,133.26 × 11,643
  4. Step 4: Simplify right side
    29,410.60x = 513,843,546.18
  5. Step 5: Solve for x
    x = 513,843,546.18/29,410.60
  6. Step 6: Final answer
    x = 17,471.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.