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Finding the Fourth Proportional to 34,714.14, 52,071.18 and 8,418.87

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Solution

The fourth proportional to 34,714.14, 52,071.18 and 8,418.87 is: 12,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.14 : 52,071.18 = 8,418.87 : x
  2. Step 2: Convert to fraction form
    34,714.14/52,071.18 = 8,418.87/x
  3. Step 3: Cross multiply
    34,714.14x = 52,071.18 × 8,418.87
  4. Step 4: Simplify right side
    34,714.14x = 438,380,495.17
  5. Step 5: Solve for x
    x = 438,380,495.17/34,714.14
  6. Step 6: Final answer
    x = 12,628.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.