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Finding the Fourth Proportional to 17,728.10, 24,465.29 and 9,770.84

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Solution

The fourth proportional to 17,728.10, 24,465.29 and 9,770.84 is: 13,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.10 : 24,465.29 = 9,770.84 : x
  2. Step 2: Convert to fraction form
    17,728.10/24,465.29 = 9,770.84/x
  3. Step 3: Cross multiply
    17,728.10x = 24,465.29 × 9,770.84
  4. Step 4: Simplify right side
    17,728.10x = 239,046,262.96
  5. Step 5: Solve for x
    x = 239,046,262.96/17,728.10
  6. Step 6: Final answer
    x = 13,484.04

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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.