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Finding the Fourth Proportional to 25,714.88, 35,485.41 and 16,164.57

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Solution

The fourth proportional to 25,714.88, 35,485.41 and 16,164.57 is: 22,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.88 : 35,485.41 = 16,164.57 : x
  2. Step 2: Convert to fraction form
    25,714.88/35,485.41 = 16,164.57/x
  3. Step 3: Cross multiply
    25,714.88x = 35,485.41 × 16,164.57
  4. Step 4: Simplify right side
    25,714.88x = 573,606,393.92
  5. Step 5: Solve for x
    x = 573,606,393.92/25,714.88
  6. Step 6: Final answer
    x = 22,306.40

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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.