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Finding the Fourth Proportional to 29,091.24, 43,636.89 and 8,314.74

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Solution

The fourth proportional to 29,091.24, 43,636.89 and 8,314.74 is: 12,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,091.24 : 43,636.89 = 8,314.74 : x
  2. Step 2: Convert to fraction form
    29,091.24/43,636.89 = 8,314.74/x
  3. Step 3: Cross multiply
    29,091.24x = 43,636.89 × 8,314.74
  4. Step 4: Simplify right side
    29,091.24x = 362,829,394.76
  5. Step 5: Solve for x
    x = 362,829,394.76/29,091.24
  6. Step 6: Final answer
    x = 12,472.12

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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.