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Finding the Fourth Proportional to 25,714.64, 35,667.98 and 25,032.22

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Solution

The fourth proportional to 25,714.64, 35,667.98 and 25,032.22 is: 34,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.64 : 35,667.98 = 25,032.22 : x
  2. Step 2: Convert to fraction form
    25,714.64/35,667.98 = 25,032.22/x
  3. Step 3: Cross multiply
    25,714.64x = 35,667.98 × 25,032.22
  4. Step 4: Simplify right side
    25,714.64x = 892,848,722.32
  5. Step 5: Solve for x
    x = 892,848,722.32/25,714.64
  6. Step 6: Final answer
    x = 34,721.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.