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Finding the Fourth Proportional to 25,714.74, 35,476.20 and 16,149

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Solution

The fourth proportional to 25,714.74, 35,476.20 and 16,149 is: 22,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.74 : 35,476.20 = 16,149 : x
  2. Step 2: Convert to fraction form
    25,714.74/35,476.20 = 16,149/x
  3. Step 3: Cross multiply
    25,714.74x = 35,476.20 × 16,149
  4. Step 4: Simplify right side
    25,714.74x = 572,905,153.80
  5. Step 5: Solve for x
    x = 572,905,153.80/25,714.74
  6. Step 6: Final answer
    x = 22,279.25

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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.