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Finding the Fourth Proportional to 17,515.68, 26,276 and 5,826.24

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Solution

The fourth proportional to 17,515.68, 26,276 and 5,826.24 is: 8,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,515.68 : 26,276 = 5,826.24 : x
  2. Step 2: Convert to fraction form
    17,515.68/26,276 = 5,826.24/x
  3. Step 3: Cross multiply
    17,515.68x = 26,276 × 5,826.24
  4. Step 4: Simplify right side
    17,515.68x = 153,090,282.24
  5. Step 5: Solve for x
    x = 153,090,282.24/17,515.68
  6. Step 6: Final answer
    x = 8,740.18

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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.