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Finding the Fourth Proportional to 17,140.79, 25,714.39 and 7,781.46

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Solution

The fourth proportional to 17,140.79, 25,714.39 and 7,781.46 is: 11,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.79 : 25,714.39 = 7,781.46 : x
  2. Step 2: Convert to fraction form
    17,140.79/25,714.39 = 7,781.46/x
  3. Step 3: Cross multiply
    17,140.79x = 25,714.39 × 7,781.46
  4. Step 4: Simplify right side
    17,140.79x = 200,095,497.21
  5. Step 5: Solve for x
    x = 200,095,497.21/17,140.79
  6. Step 6: Final answer
    x = 11,673.65

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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.