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Finding the Fourth Proportional to 29,205.60, 43,784.40 and 12,578.40

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Solution

The fourth proportional to 29,205.60, 43,784.40 and 12,578.40 is: 18,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205.60 : 43,784.40 = 12,578.40 : x
  2. Step 2: Convert to fraction form
    29,205.60/43,784.40 = 12,578.40/x
  3. Step 3: Cross multiply
    29,205.60x = 43,784.40 × 12,578.40
  4. Step 4: Simplify right side
    29,205.60x = 550,737,696.96
  5. Step 5: Solve for x
    x = 550,737,696.96/29,205.60
  6. Step 6: Final answer
    x = 18,857.26

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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.