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Finding the Fourth Proportional to 21,401.80, 32,102.70 and 6,609.40

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Solution

The fourth proportional to 21,401.80, 32,102.70 and 6,609.40 is: 9,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401.80 : 32,102.70 = 6,609.40 : x
  2. Step 2: Convert to fraction form
    21,401.80/32,102.70 = 6,609.40/x
  3. Step 3: Cross multiply
    21,401.80x = 32,102.70 × 6,609.40
  4. Step 4: Simplify right side
    21,401.80x = 212,179,585.38
  5. Step 5: Solve for x
    x = 212,179,585.38/21,401.80
  6. Step 6: Final answer
    x = 9,914.10

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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.