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Finding the Fourth Proportional to 17,830.20, 24,602.28 and 9,872.04

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Solution

The fourth proportional to 17,830.20, 24,602.28 and 9,872.04 is: 13,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.20 : 24,602.28 = 9,872.04 : x
  2. Step 2: Convert to fraction form
    17,830.20/24,602.28 = 9,872.04/x
  3. Step 3: Cross multiply
    17,830.20x = 24,602.28 × 9,872.04
  4. Step 4: Simplify right side
    17,830.20x = 242,874,692.25
  5. Step 5: Solve for x
    x = 242,874,692.25/17,830.20
  6. Step 6: Final answer
    x = 13,621.53

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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.