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Finding the Fourth Proportional to 21,201.80, 31,802.70 and 6,421.10

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Solution

The fourth proportional to 21,201.80, 31,802.70 and 6,421.10 is: 9,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.80 : 31,802.70 = 6,421.10 : x
  2. Step 2: Convert to fraction form
    21,201.80/31,802.70 = 6,421.10/x
  3. Step 3: Cross multiply
    21,201.80x = 31,802.70 × 6,421.10
  4. Step 4: Simplify right side
    21,201.80x = 204,208,316.97
  5. Step 5: Solve for x
    x = 204,208,316.97/21,201.80
  6. Step 6: Final answer
    x = 9,631.65

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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.