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Finding the Fourth Proportional to 29,114.18, 43,634.74 and 12,454.64

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Solution

The fourth proportional to 29,114.18, 43,634.74 and 12,454.64 is: 18,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114.18 : 43,634.74 = 12,454.64 : x
  2. Step 2: Convert to fraction form
    29,114.18/43,634.74 = 12,454.64/x
  3. Step 3: Cross multiply
    29,114.18x = 43,634.74 × 12,454.64
  4. Step 4: Simplify right side
    29,114.18x = 543,454,978.19
  5. Step 5: Solve for x
    x = 543,454,978.19/29,114.18
  6. Step 6: Final answer
    x = 18,666.33

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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.