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Finding the Fourth Proportional to 25,806.20, 35,615.34 and 14,627

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Solution

The fourth proportional to 25,806.20, 35,615.34 and 14,627 is: 20,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.20 : 35,615.34 = 14,627 : x
  2. Step 2: Convert to fraction form
    25,806.20/35,615.34 = 14,627/x
  3. Step 3: Cross multiply
    25,806.20x = 35,615.34 × 14,627
  4. Step 4: Simplify right side
    25,806.20x = 520,945,578.18
  5. Step 5: Solve for x
    x = 520,945,578.18/25,806.20
  6. Step 6: Final answer
    x = 20,186.84

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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.