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Finding the Fourth Proportional to 15,850.53, 23,780.66 and 9,262.80

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Solution

The fourth proportional to 15,850.53, 23,780.66 and 9,262.80 is: 13,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.53 : 23,780.66 = 9,262.80 : x
  2. Step 2: Convert to fraction form
    15,850.53/23,780.66 = 9,262.80/x
  3. Step 3: Cross multiply
    15,850.53x = 23,780.66 × 9,262.80
  4. Step 4: Simplify right side
    15,850.53x = 220,275,451.13
  5. Step 5: Solve for x
    x = 220,275,451.13/15,850.53
  6. Step 6: Final answer
    x = 13,897.04

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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.