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Finding the Fourth Proportional to 17,786.32, 24,545.32 and 9,828.40

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Solution

The fourth proportional to 17,786.32, 24,545.32 and 9,828.40 is: 13,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.32 : 24,545.32 = 9,828.40 : x
  2. Step 2: Convert to fraction form
    17,786.32/24,545.32 = 9,828.40/x
  3. Step 3: Cross multiply
    17,786.32x = 24,545.32 × 9,828.40
  4. Step 4: Simplify right side
    17,786.32x = 241,241,223.09
  5. Step 5: Solve for x
    x = 241,241,223.09/17,786.32
  6. Step 6: Final answer
    x = 13,563.30

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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.