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Finding the Fourth Proportional to 14,371.93, 19,832.95 and 7,998.24

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Solution

The fourth proportional to 14,371.93, 19,832.95 and 7,998.24 is: 11,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.93 : 19,832.95 = 7,998.24 : x
  2. Step 2: Convert to fraction form
    14,371.93/19,832.95 = 7,998.24/x
  3. Step 3: Cross multiply
    14,371.93x = 19,832.95 × 7,998.24
  4. Step 4: Simplify right side
    14,371.93x = 158,628,778.38
  5. Step 5: Solve for x
    x = 158,628,778.38/14,371.93
  6. Step 6: Final answer
    x = 11,037.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.