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Finding the Fourth Proportional to 19,983.58, 29,953.71 and 9,859

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Solution

The fourth proportional to 19,983.58, 29,953.71 and 9,859 is: 14,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.58 : 29,953.71 = 9,859 : x
  2. Step 2: Convert to fraction form
    19,983.58/29,953.71 = 9,859/x
  3. Step 3: Cross multiply
    19,983.58x = 29,953.71 × 9,859
  4. Step 4: Simplify right side
    19,983.58x = 295,313,626.89
  5. Step 5: Solve for x
    x = 295,313,626.89/19,983.58
  6. Step 6: Final answer
    x = 14,777.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.