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Finding the Fourth Proportional to 25,777, 38,659.42 and 14,537.16

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Solution

The fourth proportional to 25,777, 38,659.42 and 14,537.16 is: 21,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777 : 38,659.42 = 14,537.16 : x
  2. Step 2: Convert to fraction form
    25,777/38,659.42 = 14,537.16/x
  3. Step 3: Cross multiply
    25,777x = 38,659.42 × 14,537.16
  4. Step 4: Simplify right side
    25,777x = 561,998,174.05
  5. Step 5: Solve for x
    x = 561,998,174.05/25,777
  6. Step 6: Final answer
    x = 21,802.31

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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.