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Finding the Fourth Proportional to 25,980.26, 38,914 and 15,954.58

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Solution

The fourth proportional to 25,980.26, 38,914 and 15,954.58 is: 23,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.26 : 38,914 = 15,954.58 : x
  2. Step 2: Convert to fraction form
    25,980.26/38,914 = 15,954.58/x
  3. Step 3: Cross multiply
    25,980.26x = 38,914 × 15,954.58
  4. Step 4: Simplify right side
    25,980.26x = 620,856,526.12
  5. Step 5: Solve for x
    x = 620,856,526.12/25,980.26
  6. Step 6: Final answer
    x = 23,897.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.