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Finding the Fourth Proportional to 17,278, 23,846.52 and 13,078.96

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Solution

The fourth proportional to 17,278, 23,846.52 and 13,078.96 is: 18,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278 : 23,846.52 = 13,078.96 : x
  2. Step 2: Convert to fraction form
    17,278/23,846.52 = 13,078.96/x
  3. Step 3: Cross multiply
    17,278x = 23,846.52 × 13,078.96
  4. Step 4: Simplify right side
    17,278x = 311,887,681.22
  5. Step 5: Solve for x
    x = 311,887,681.22/17,278
  6. Step 6: Final answer
    x = 18,051.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.