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Finding the Fourth Proportional to 13,192.84, 19,789.26 and 7,717

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Solution

The fourth proportional to 13,192.84, 19,789.26 and 7,717 is: 11,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.84 : 19,789.26 = 7,717 : x
  2. Step 2: Convert to fraction form
    13,192.84/19,789.26 = 7,717/x
  3. Step 3: Cross multiply
    13,192.84x = 19,789.26 × 7,717
  4. Step 4: Simplify right side
    13,192.84x = 152,713,719.42
  5. Step 5: Solve for x
    x = 152,713,719.42/13,192.84
  6. Step 6: Final answer
    x = 11,575.50

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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.