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Finding the Fourth Proportional to 29,846.32, 44,785.16 and 13,217.84

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Solution

The fourth proportional to 29,846.32, 44,785.16 and 13,217.84 is: 19,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846.32 : 44,785.16 = 13,217.84 : x
  2. Step 2: Convert to fraction form
    29,846.32/44,785.16 = 13,217.84/x
  3. Step 3: Cross multiply
    29,846.32x = 44,785.16 × 13,217.84
  4. Step 4: Simplify right side
    29,846.32x = 591,963,079.25
  5. Step 5: Solve for x
    x = 591,963,079.25/29,846.32
  6. Step 6: Final answer
    x = 19,833.70

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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.