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Finding the Fourth Proportional to 17,830.80, 24,606.12 and 9,873

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Solution

The fourth proportional to 17,830.80, 24,606.12 and 9,873 is: 13,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.80 : 24,606.12 = 9,873 : x
  2. Step 2: Convert to fraction form
    17,830.80/24,606.12 = 9,873/x
  3. Step 3: Cross multiply
    17,830.80x = 24,606.12 × 9,873
  4. Step 4: Simplify right side
    17,830.80x = 242,936,222.76
  5. Step 5: Solve for x
    x = 242,936,222.76/17,830.80
  6. Step 6: Final answer
    x = 13,624.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.