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Finding the Fourth Proportional to 17,780.65, 24,535.20 and 9,822.40

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Solution

The fourth proportional to 17,780.65, 24,535.20 and 9,822.40 is: 13,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.65 : 24,535.20 = 9,822.40 : x
  2. Step 2: Convert to fraction form
    17,780.65/24,535.20 = 9,822.40/x
  3. Step 3: Cross multiply
    17,780.65x = 24,535.20 × 9,822.40
  4. Step 4: Simplify right side
    17,780.65x = 240,994,523.98
  5. Step 5: Solve for x
    x = 240,994,523.98/17,780.65
  6. Step 6: Final answer
    x = 13,553.75

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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.