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Finding the Fourth Proportional to 25,714.56, 35,486.16 and 14,384.25

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Solution

The fourth proportional to 25,714.56, 35,486.16 and 14,384.25 is: 19,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.56 : 35,486.16 = 14,384.25 : x
  2. Step 2: Convert to fraction form
    25,714.56/35,486.16 = 14,384.25/x
  3. Step 3: Cross multiply
    25,714.56x = 35,486.16 × 14,384.25
  4. Step 4: Simplify right side
    25,714.56x = 510,441,796.98
  5. Step 5: Solve for x
    x = 510,441,796.98/25,714.56
  6. Step 6: Final answer
    x = 19,850.30

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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.