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Finding the Fourth Proportional to 17,814.74, 24,584.36 and 9,857.51

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Solution

The fourth proportional to 17,814.74, 24,584.36 and 9,857.51 is: 13,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.74 : 24,584.36 = 9,857.51 : x
  2. Step 2: Convert to fraction form
    17,814.74/24,584.36 = 9,857.51/x
  3. Step 3: Cross multiply
    17,814.74x = 24,584.36 × 9,857.51
  4. Step 4: Simplify right side
    17,814.74x = 242,340,574.54
  5. Step 5: Solve for x
    x = 242,340,574.54/17,814.74
  6. Step 6: Final answer
    x = 13,603.37

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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.