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Finding the Fourth Proportional to 17,822.82, 26,725.02 and 7,823.47

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Solution

The fourth proportional to 17,822.82, 26,725.02 and 7,823.47 is: 11,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.82 : 26,725.02 = 7,823.47 : x
  2. Step 2: Convert to fraction form
    17,822.82/26,725.02 = 7,823.47/x
  3. Step 3: Cross multiply
    17,822.82x = 26,725.02 × 7,823.47
  4. Step 4: Simplify right side
    17,822.82x = 209,082,392.22
  5. Step 5: Solve for x
    x = 209,082,392.22/17,822.82
  6. Step 6: Final answer
    x = 11,731.16

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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.