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Finding the Fourth Proportional to 17,728.09, 24,464.29 and 9,770.32

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Solution

The fourth proportional to 17,728.09, 24,464.29 and 9,770.32 is: 13,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.09 : 24,464.29 = 9,770.32 : x
  2. Step 2: Convert to fraction form
    17,728.09/24,464.29 = 9,770.32/x
  3. Step 3: Cross multiply
    17,728.09x = 24,464.29 × 9,770.32
  4. Step 4: Simplify right side
    17,728.09x = 239,023,795.13
  5. Step 5: Solve for x
    x = 239,023,795.13/17,728.09
  6. Step 6: Final answer
    x = 13,482.77

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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.