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Finding the Fourth Proportional to 34,199.34, 51,266.21 and 10,809.78

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Solution

The fourth proportional to 34,199.34, 51,266.21 and 10,809.78 is: 16,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,199.34 : 51,266.21 = 10,809.78 : x
  2. Step 2: Convert to fraction form
    34,199.34/51,266.21 = 10,809.78/x
  3. Step 3: Cross multiply
    34,199.34x = 51,266.21 × 10,809.78
  4. Step 4: Simplify right side
    34,199.34x = 554,176,397.48
  5. Step 5: Solve for x
    x = 554,176,397.48/34,199.34
  6. Step 6: Final answer
    x = 16,204.30

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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.