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Finding the Fourth Proportional to 29,462.16, 44,195.24 and 8,403.84

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Solution

The fourth proportional to 29,462.16, 44,195.24 and 8,403.84 is: 12,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.16 : 44,195.24 = 8,403.84 : x
  2. Step 2: Convert to fraction form
    29,462.16/44,195.24 = 8,403.84/x
  3. Step 3: Cross multiply
    29,462.16x = 44,195.24 × 8,403.84
  4. Step 4: Simplify right side
    29,462.16x = 371,409,725.72
  5. Step 5: Solve for x
    x = 371,409,725.72/29,462.16
  6. Step 6: Final answer
    x = 12,606.33

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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.