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Finding the Fourth Proportional to 21,113.89, 31,667.19 and 6,318.84

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Solution

The fourth proportional to 21,113.89, 31,667.19 and 6,318.84 is: 9,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.89 : 31,667.19 = 6,318.84 : x
  2. Step 2: Convert to fraction form
    21,113.89/31,667.19 = 6,318.84/x
  3. Step 3: Cross multiply
    21,113.89x = 31,667.19 × 6,318.84
  4. Step 4: Simplify right side
    21,113.89x = 200,099,748.52
  5. Step 5: Solve for x
    x = 200,099,748.52/21,113.89
  6. Step 6: Final answer
    x = 9,477.16

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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.