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Finding the Fourth Proportional to 23,404.30, 32,297.78 and 13,333.16

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Solution

The fourth proportional to 23,404.30, 32,297.78 and 13,333.16 is: 18,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404.30 : 32,297.78 = 13,333.16 : x
  2. Step 2: Convert to fraction form
    23,404.30/32,297.78 = 13,333.16/x
  3. Step 3: Cross multiply
    23,404.30x = 32,297.78 × 13,333.16
  4. Step 4: Simplify right side
    23,404.30x = 430,631,468.38
  5. Step 5: Solve for x
    x = 430,631,468.38/23,404.30
  6. Step 6: Final answer
    x = 18,399.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.