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Finding the Fourth Proportional to 29,205.64, 43,812.10 and 11,434

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Solution

The fourth proportional to 29,205.64, 43,812.10 and 11,434 is: 17,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205.64 : 43,812.10 = 11,434 : x
  2. Step 2: Convert to fraction form
    29,205.64/43,812.10 = 11,434/x
  3. Step 3: Cross multiply
    29,205.64x = 43,812.10 × 11,434
  4. Step 4: Simplify right side
    29,205.64x = 500,947,551.40
  5. Step 5: Solve for x
    x = 500,947,551.40/29,205.64
  6. Step 6: Final answer
    x = 17,152.43

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