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Finding the Fourth Proportional to 34,204.40, 51,306.18 and 10,830.80

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Solution

The fourth proportional to 34,204.40, 51,306.18 and 10,830.80 is: 16,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.40 : 51,306.18 = 10,830.80 : x
  2. Step 2: Convert to fraction form
    34,204.40/51,306.18 = 10,830.80/x
  3. Step 3: Cross multiply
    34,204.40x = 51,306.18 × 10,830.80
  4. Step 4: Simplify right side
    34,204.40x = 555,686,974.34
  5. Step 5: Solve for x
    x = 555,686,974.34/34,204.40
  6. Step 6: Final answer
    x = 16,246.07

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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.