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Finding the Fourth Proportional to 29,653.76, 44,477.32 and 7,467.14

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Solution

The fourth proportional to 29,653.76, 44,477.32 and 7,467.14 is: 11,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,653.76 : 44,477.32 = 7,467.14 : x
  2. Step 2: Convert to fraction form
    29,653.76/44,477.32 = 7,467.14/x
  3. Step 3: Cross multiply
    29,653.76x = 44,477.32 × 7,467.14
  4. Step 4: Simplify right side
    29,653.76x = 332,118,375.26
  5. Step 5: Solve for x
    x = 332,118,375.26/29,653.76
  6. Step 6: Final answer
    x = 11,199.87

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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.