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Finding the Fourth Proportional to 21,851.64, 32,769.09 and 7,809.03

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Solution

The fourth proportional to 21,851.64, 32,769.09 and 7,809.03 is: 11,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.64 : 32,769.09 = 7,809.03 : x
  2. Step 2: Convert to fraction form
    21,851.64/32,769.09 = 7,809.03/x
  3. Step 3: Cross multiply
    21,851.64x = 32,769.09 × 7,809.03
  4. Step 4: Simplify right side
    21,851.64x = 255,894,806.88
  5. Step 5: Solve for x
    x = 255,894,806.88/21,851.64
  6. Step 6: Final answer
    x = 11,710.55

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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.