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Finding the Fourth Proportional to 21,409.80, 32,114.70 and 21,191.10

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Solution

The fourth proportional to 21,409.80, 32,114.70 and 21,191.10 is: 31,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.80 : 32,114.70 = 21,191.10 : x
  2. Step 2: Convert to fraction form
    21,409.80/32,114.70 = 21,191.10/x
  3. Step 3: Cross multiply
    21,409.80x = 32,114.70 × 21,191.10
  4. Step 4: Simplify right side
    21,409.80x = 680,545,819.17
  5. Step 5: Solve for x
    x = 680,545,819.17/21,409.80
  6. Step 6: Final answer
    x = 31,786.65

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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.