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Finding the Fourth Proportional to 29,204.16, 43,813.92 and 8,429.76

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Solution

The fourth proportional to 29,204.16, 43,813.92 and 8,429.76 is: 12,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,204.16 : 43,813.92 = 8,429.76 : x
  2. Step 2: Convert to fraction form
    29,204.16/43,813.92 = 8,429.76/x
  3. Step 3: Cross multiply
    29,204.16x = 43,813.92 × 8,429.76
  4. Step 4: Simplify right side
    29,204.16x = 369,340,830.26
  5. Step 5: Solve for x
    x = 369,340,830.26/29,204.16
  6. Step 6: Final answer
    x = 12,646.86

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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.