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Finding the Fourth Proportional to 25,609.74, 35,344.28 and 14,857

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Solution

The fourth proportional to 25,609.74, 35,344.28 and 14,857 is: 20,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,609.74 : 35,344.28 = 14,857 : x
  2. Step 2: Convert to fraction form
    25,609.74/35,344.28 = 14,857/x
  3. Step 3: Cross multiply
    25,609.74x = 35,344.28 × 14,857
  4. Step 4: Simplify right side
    25,609.74x = 525,109,967.96
  5. Step 5: Solve for x
    x = 525,109,967.96/25,609.74
  6. Step 6: Final answer
    x = 20,504.31

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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.