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Finding the Fourth Proportional to 25,714.14, 38,527.14 and 17,264.82

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Solution

The fourth proportional to 25,714.14, 38,527.14 and 17,264.82 is: 25,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.14 : 38,527.14 = 17,264.82 : x
  2. Step 2: Convert to fraction form
    25,714.14/38,527.14 = 17,264.82/x
  3. Step 3: Cross multiply
    25,714.14x = 38,527.14 × 17,264.82
  4. Step 4: Simplify right side
    25,714.14x = 665,164,137.21
  5. Step 5: Solve for x
    x = 665,164,137.21/25,714.14
  6. Step 6: Final answer
    x = 25,867.64

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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.