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Finding the Fourth Proportional to 29,205.76, 43,815.56 and 9,484.32

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Solution

The fourth proportional to 29,205.76, 43,815.56 and 9,484.32 is: 14,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205.76 : 43,815.56 = 9,484.32 : x
  2. Step 2: Convert to fraction form
    29,205.76/43,815.56 = 9,484.32/x
  3. Step 3: Cross multiply
    29,205.76x = 43,815.56 × 9,484.32
  4. Step 4: Simplify right side
    29,205.76x = 415,560,792.02
  5. Step 5: Solve for x
    x = 415,560,792.02/29,205.76
  6. Step 6: Final answer
    x = 14,228.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.