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Finding the Fourth Proportional to 17,047.74, 23,529.30 and 9,878.82

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Solution

The fourth proportional to 17,047.74, 23,529.30 and 9,878.82 is: 13,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.74 : 23,529.30 = 9,878.82 : x
  2. Step 2: Convert to fraction form
    17,047.74/23,529.30 = 9,878.82/x
  3. Step 3: Cross multiply
    17,047.74x = 23,529.30 × 9,878.82
  4. Step 4: Simplify right side
    17,047.74x = 232,441,719.43
  5. Step 5: Solve for x
    x = 232,441,719.43/17,047.74
  6. Step 6: Final answer
    x = 13,634.75

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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.