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Finding the Fourth Proportional to 21,667.24, 32,494.38 and 7,813

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Solution

The fourth proportional to 21,667.24, 32,494.38 and 7,813 is: 11,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.24 : 32,494.38 = 7,813 : x
  2. Step 2: Convert to fraction form
    21,667.24/32,494.38 = 7,813/x
  3. Step 3: Cross multiply
    21,667.24x = 32,494.38 × 7,813
  4. Step 4: Simplify right side
    21,667.24x = 253,878,590.94
  5. Step 5: Solve for x
    x = 253,878,590.94/21,667.24
  6. Step 6: Final answer
    x = 11,717.16

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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.