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Finding the Fourth Proportional to 21,321.40, 31,982.10 and 6,530.20

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Solution

The fourth proportional to 21,321.40, 31,982.10 and 6,530.20 is: 9,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.40 : 31,982.10 = 6,530.20 : x
  2. Step 2: Convert to fraction form
    21,321.40/31,982.10 = 6,530.20/x
  3. Step 3: Cross multiply
    21,321.40x = 31,982.10 × 6,530.20
  4. Step 4: Simplify right side
    21,321.40x = 208,849,509.42
  5. Step 5: Solve for x
    x = 208,849,509.42/21,321.40
  6. Step 6: Final answer
    x = 9,795.30

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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.