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Finding the Fourth Proportional to 17,772.40, 24,525.80 and 9,814.56

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Solution

The fourth proportional to 17,772.40, 24,525.80 and 9,814.56 is: 13,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.40 : 24,525.80 = 9,814.56 : x
  2. Step 2: Convert to fraction form
    17,772.40/24,525.80 = 9,814.56/x
  3. Step 3: Cross multiply
    17,772.40x = 24,525.80 × 9,814.56
  4. Step 4: Simplify right side
    17,772.40x = 240,709,935.65
  5. Step 5: Solve for x
    x = 240,709,935.65/17,772.40
  6. Step 6: Final answer
    x = 13,544.03

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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.