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Finding the Fourth Proportional to 19,695.75, 29,543.63 and 5,844.75

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Solution

The fourth proportional to 19,695.75, 29,543.63 and 5,844.75 is: 8,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.75 : 29,543.63 = 5,844.75 : x
  2. Step 2: Convert to fraction form
    19,695.75/29,543.63 = 5,844.75/x
  3. Step 3: Cross multiply
    19,695.75x = 29,543.63 × 5,844.75
  4. Step 4: Simplify right side
    19,695.75x = 172,675,102.22
  5. Step 5: Solve for x
    x = 172,675,102.22/19,695.75
  6. Step 6: Final answer
    x = 8,767.13

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Why These Related Problems?

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