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Finding the Fourth Proportional to 12,473.82, 18,710.64 and 5,078.34

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Solution

The fourth proportional to 12,473.82, 18,710.64 and 5,078.34 is: 7,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.82 : 18,710.64 = 5,078.34 : x
  2. Step 2: Convert to fraction form
    12,473.82/18,710.64 = 5,078.34/x
  3. Step 3: Cross multiply
    12,473.82x = 18,710.64 × 5,078.34
  4. Step 4: Simplify right side
    12,473.82x = 95,018,991.54
  5. Step 5: Solve for x
    x = 95,018,991.54/12,473.82
  6. Step 6: Final answer
    x = 7,617.47

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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.