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Finding the Fourth Proportional to 21,148.50, 31,723.29 and 7,109.04

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Solution

The fourth proportional to 21,148.50, 31,723.29 and 7,109.04 is: 10,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.50 : 31,723.29 = 7,109.04 : x
  2. Step 2: Convert to fraction form
    21,148.50/31,723.29 = 7,109.04/x
  3. Step 3: Cross multiply
    21,148.50x = 31,723.29 × 7,109.04
  4. Step 4: Simplify right side
    21,148.50x = 225,522,137.54
  5. Step 5: Solve for x
    x = 225,522,137.54/21,148.50
  6. Step 6: Final answer
    x = 10,663.74

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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.