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Finding the Fourth Proportional to 17,728.84, 24,464.70 and 9,770.62

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Solution

The fourth proportional to 17,728.84, 24,464.70 and 9,770.62 is: 13,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.84 : 24,464.70 = 9,770.62 : x
  2. Step 2: Convert to fraction form
    17,728.84/24,464.70 = 9,770.62/x
  3. Step 3: Cross multiply
    17,728.84x = 24,464.70 × 9,770.62
  4. Step 4: Simplify right side
    17,728.84x = 239,035,287.11
  5. Step 5: Solve for x
    x = 239,035,287.11/17,728.84
  6. Step 6: Final answer
    x = 13,482.85

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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.