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Finding the Fourth Proportional to 21,003.76, 31,506.18 and 7,162.48

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Solution

The fourth proportional to 21,003.76, 31,506.18 and 7,162.48 is: 10,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.76 : 31,506.18 = 7,162.48 : x
  2. Step 2: Convert to fraction form
    21,003.76/31,506.18 = 7,162.48/x
  3. Step 3: Cross multiply
    21,003.76x = 31,506.18 × 7,162.48
  4. Step 4: Simplify right side
    21,003.76x = 225,662,384.13
  5. Step 5: Solve for x
    x = 225,662,384.13/21,003.76
  6. Step 6: Final answer
    x = 10,743.90

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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.