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Finding the Fourth Proportional to 25,537.96, 35,241.96 and 14,207.32

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Solution

The fourth proportional to 25,537.96, 35,241.96 and 14,207.32 is: 19,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.96 : 35,241.96 = 14,207.32 : x
  2. Step 2: Convert to fraction form
    25,537.96/35,241.96 = 14,207.32/x
  3. Step 3: Cross multiply
    25,537.96x = 35,241.96 × 14,207.32
  4. Step 4: Simplify right side
    25,537.96x = 500,693,803.15
  5. Step 5: Solve for x
    x = 500,693,803.15/25,537.96
  6. Step 6: Final answer
    x = 19,605.87

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