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Finding the Fourth Proportional to 17,733.19, 24,471.97 and 9,775.70

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Solution

The fourth proportional to 17,733.19, 24,471.97 and 9,775.70 is: 13,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.19 : 24,471.97 = 9,775.70 : x
  2. Step 2: Convert to fraction form
    17,733.19/24,471.97 = 9,775.70/x
  3. Step 3: Cross multiply
    17,733.19x = 24,471.97 × 9,775.70
  4. Step 4: Simplify right side
    17,733.19x = 239,230,551.51
  5. Step 5: Solve for x
    x = 239,230,551.51/17,733.19
  6. Step 6: Final answer
    x = 13,490.56

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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.