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Finding the Fourth Proportional to 25,714.92, 35,485.62 and 14,537.16

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Solution

The fourth proportional to 25,714.92, 35,485.62 and 14,537.16 is: 20,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.92 : 35,485.62 = 14,537.16 : x
  2. Step 2: Convert to fraction form
    25,714.92/35,485.62 = 14,537.16/x
  3. Step 3: Cross multiply
    25,714.92x = 35,485.62 × 14,537.16
  4. Step 4: Simplify right side
    25,714.92x = 515,860,135.64
  5. Step 5: Solve for x
    x = 515,860,135.64/25,714.92
  6. Step 6: Final answer
    x = 20,060.73

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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.