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Finding the Fourth Proportional to 36,204.34, 54,306.57 and 9,907.12

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Solution

The fourth proportional to 36,204.34, 54,306.57 and 9,907.12 is: 14,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,204.34 : 54,306.57 = 9,907.12 : x
  2. Step 2: Convert to fraction form
    36,204.34/54,306.57 = 9,907.12/x
  3. Step 3: Cross multiply
    36,204.34x = 54,306.57 × 9,907.12
  4. Step 4: Simplify right side
    36,204.34x = 538,021,705.78
  5. Step 5: Solve for x
    x = 538,021,705.78/36,204.34
  6. Step 6: Final answer
    x = 14,860.70

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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.