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Finding the Fourth Proportional to 17,097.68, 25,650.24 and 5,411

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Solution

The fourth proportional to 17,097.68, 25,650.24 and 5,411 is: 8,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.68 : 25,650.24 = 5,411 : x
  2. Step 2: Convert to fraction form
    17,097.68/25,650.24 = 5,411/x
  3. Step 3: Cross multiply
    17,097.68x = 25,650.24 × 5,411
  4. Step 4: Simplify right side
    17,097.68x = 138,793,448.64
  5. Step 5: Solve for x
    x = 138,793,448.64/17,097.68
  6. Step 6: Final answer
    x = 8,117.68

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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.