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Finding the Fourth Proportional to 23,202.64, 32,019.06 and 13,771

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Solution

The fourth proportional to 23,202.64, 32,019.06 and 13,771 is: 19,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.64 : 32,019.06 = 13,771 : x
  2. Step 2: Convert to fraction form
    23,202.64/32,019.06 = 13,771/x
  3. Step 3: Cross multiply
    23,202.64x = 32,019.06 × 13,771
  4. Step 4: Simplify right side
    23,202.64x = 440,934,475.26
  5. Step 5: Solve for x
    x = 440,934,475.26/23,202.64
  6. Step 6: Final answer
    x = 19,003.63

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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.