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Finding the Fourth Proportional to 25,860.52, 38,714.24 and 15,968

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Solution

The fourth proportional to 25,860.52, 38,714.24 and 15,968 is: 23,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860.52 : 38,714.24 = 15,968 : x
  2. Step 2: Convert to fraction form
    25,860.52/38,714.24 = 15,968/x
  3. Step 3: Cross multiply
    25,860.52x = 38,714.24 × 15,968
  4. Step 4: Simplify right side
    25,860.52x = 618,188,984.32
  5. Step 5: Solve for x
    x = 618,188,984.32/25,860.52
  6. Step 6: Final answer
    x = 23,904.74

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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.