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Finding the Fourth Proportional to 24,456.82, 36,667.27 and 7,807.27

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Solution

The fourth proportional to 24,456.82, 36,667.27 and 7,807.27 is: 11,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.82 : 36,667.27 = 7,807.27 : x
  2. Step 2: Convert to fraction form
    24,456.82/36,667.27 = 7,807.27/x
  3. Step 3: Cross multiply
    24,456.82x = 36,667.27 × 7,807.27
  4. Step 4: Simplify right side
    24,456.82x = 286,271,277.05
  5. Step 5: Solve for x
    x = 286,271,277.05/24,456.82
  6. Step 6: Final answer
    x = 11,705.17

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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.