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Finding the Fourth Proportional to 17,140.88, 25,714.20 and 5,457.68

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Solution

The fourth proportional to 17,140.88, 25,714.20 and 5,457.68 is: 8,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.88 : 25,714.20 = 5,457.68 : x
  2. Step 2: Convert to fraction form
    17,140.88/25,714.20 = 5,457.68/x
  3. Step 3: Cross multiply
    17,140.88x = 25,714.20 × 5,457.68
  4. Step 4: Simplify right side
    17,140.88x = 140,339,875.06
  5. Step 5: Solve for x
    x = 140,339,875.06/17,140.88
  6. Step 6: Final answer
    x = 8,187.44

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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.