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Finding the Fourth Proportional to 14,205.78, 19,603.09 and 7,832.04

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Solution

The fourth proportional to 14,205.78, 19,603.09 and 7,832.04 is: 10,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.78 : 19,603.09 = 7,832.04 : x
  2. Step 2: Convert to fraction form
    14,205.78/19,603.09 = 7,832.04/x
  3. Step 3: Cross multiply
    14,205.78x = 19,603.09 × 7,832.04
  4. Step 4: Simplify right side
    14,205.78x = 153,532,185.00
  5. Step 5: Solve for x
    x = 153,532,185.00/14,205.78
  6. Step 6: Final answer
    x = 10,807.73

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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.