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Finding the Fourth Proportional to 17,776.63, 24,532.77 and 10,705.33

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Solution

The fourth proportional to 17,776.63, 24,532.77 and 10,705.33 is: 14,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.63 : 24,532.77 = 10,705.33 : x
  2. Step 2: Convert to fraction form
    17,776.63/24,532.77 = 10,705.33/x
  3. Step 3: Cross multiply
    17,776.63x = 24,532.77 × 10,705.33
  4. Step 4: Simplify right side
    17,776.63x = 262,631,398.66
  5. Step 5: Solve for x
    x = 262,631,398.66/17,776.63
  6. Step 6: Final answer
    x = 14,773.97

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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.