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Finding the Fourth Proportional to 19,575, 29,366.82 and 7,263

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Solution

The fourth proportional to 19,575, 29,366.82 and 7,263 is: 10,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575 : 29,366.82 = 7,263 : x
  2. Step 2: Convert to fraction form
    19,575/29,366.82 = 7,263/x
  3. Step 3: Cross multiply
    19,575x = 29,366.82 × 7,263
  4. Step 4: Simplify right side
    19,575x = 213,291,213.66
  5. Step 5: Solve for x
    x = 213,291,213.66/19,575
  6. Step 6: Final answer
    x = 10,896.10

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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.