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Finding the Fourth Proportional to 17,828.56, 24,603.78 and 9,871.39

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Solution

The fourth proportional to 17,828.56, 24,603.78 and 9,871.39 is: 13,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.56 : 24,603.78 = 9,871.39 : x
  2. Step 2: Convert to fraction form
    17,828.56/24,603.78 = 9,871.39/x
  3. Step 3: Cross multiply
    17,828.56x = 24,603.78 × 9,871.39
  4. Step 4: Simplify right side
    17,828.56x = 242,873,507.85
  5. Step 5: Solve for x
    x = 242,873,507.85/17,828.56
  6. Step 6: Final answer
    x = 13,622.72

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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.