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Finding the Fourth Proportional to 17,097.24, 25,649.52 and 5,411.40

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Solution

The fourth proportional to 17,097.24, 25,649.52 and 5,411.40 is: 8,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.24 : 25,649.52 = 5,411.40 : x
  2. Step 2: Convert to fraction form
    17,097.24/25,649.52 = 5,411.40/x
  3. Step 3: Cross multiply
    17,097.24x = 25,649.52 × 5,411.40
  4. Step 4: Simplify right side
    17,097.24x = 138,799,812.53
  5. Step 5: Solve for x
    x = 138,799,812.53/17,097.24
  6. Step 6: Final answer
    x = 8,118.26

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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.