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Finding the Fourth Proportional to 25,714.13, 35,485.16 and 14,383.44

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Solution

The fourth proportional to 25,714.13, 35,485.16 and 14,383.44 is: 19,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.13 : 35,485.16 = 14,383.44 : x
  2. Step 2: Convert to fraction form
    25,714.13/35,485.16 = 14,383.44/x
  3. Step 3: Cross multiply
    25,714.13x = 35,485.16 × 14,383.44
  4. Step 4: Simplify right side
    25,714.13x = 510,398,597.83
  5. Step 5: Solve for x
    x = 510,398,597.83/25,714.13
  6. Step 6: Final answer
    x = 19,848.96

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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.