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Finding the Fourth Proportional to 21,205.16, 31,811.21 and 7,166.04

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Solution

The fourth proportional to 21,205.16, 31,811.21 and 7,166.04 is: 10,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.16 : 31,811.21 = 7,166.04 : x
  2. Step 2: Convert to fraction form
    21,205.16/31,811.21 = 7,166.04/x
  3. Step 3: Cross multiply
    21,205.16x = 31,811.21 × 7,166.04
  4. Step 4: Simplify right side
    21,205.16x = 227,960,315.37
  5. Step 5: Solve for x
    x = 227,960,315.37/21,205.16
  6. Step 6: Final answer
    x = 10,750.23

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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.