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Finding the Fourth Proportional to 21,154.62, 31,709.93 and 7,104.22

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Solution

The fourth proportional to 21,154.62, 31,709.93 and 7,104.22 is: 10,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.62 : 31,709.93 = 7,104.22 : x
  2. Step 2: Convert to fraction form
    21,154.62/31,709.93 = 7,104.22/x
  3. Step 3: Cross multiply
    21,154.62x = 31,709.93 × 7,104.22
  4. Step 4: Simplify right side
    21,154.62x = 225,274,318.90
  5. Step 5: Solve for x
    x = 225,274,318.90/21,154.62
  6. Step 6: Final answer
    x = 10,648.94

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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.