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Finding the Fourth Proportional to 17,923.25, 24,734.71 and 9,857.51

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Solution

The fourth proportional to 17,923.25, 24,734.71 and 9,857.51 is: 13,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.25 : 24,734.71 = 9,857.51 : x
  2. Step 2: Convert to fraction form
    17,923.25/24,734.71 = 9,857.51/x
  3. Step 3: Cross multiply
    17,923.25x = 24,734.71 × 9,857.51
  4. Step 4: Simplify right side
    17,923.25x = 243,822,651.17
  5. Step 5: Solve for x
    x = 243,822,651.17/17,923.25
  6. Step 6: Final answer
    x = 13,603.71

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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.