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Finding the Fourth Proportional to 17,733.49, 24,471.78 and 9,775.54

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Solution

The fourth proportional to 17,733.49, 24,471.78 and 9,775.54 is: 13,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.49 : 24,471.78 = 9,775.54 : x
  2. Step 2: Convert to fraction form
    17,733.49/24,471.78 = 9,775.54/x
  3. Step 3: Cross multiply
    17,733.49x = 24,471.78 × 9,775.54
  4. Step 4: Simplify right side
    17,733.49x = 239,224,864.26
  5. Step 5: Solve for x
    x = 239,224,864.26/17,733.49
  6. Step 6: Final answer
    x = 13,490.00

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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.