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Finding the Fourth Proportional to 19,357.29, 29,046.87 and 8,262.95

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Solution

The fourth proportional to 19,357.29, 29,046.87 and 8,262.95 is: 12,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.29 : 29,046.87 = 8,262.95 : x
  2. Step 2: Convert to fraction form
    19,357.29/29,046.87 = 8,262.95/x
  3. Step 3: Cross multiply
    19,357.29x = 29,046.87 × 8,262.95
  4. Step 4: Simplify right side
    19,357.29x = 240,012,689.23
  5. Step 5: Solve for x
    x = 240,012,689.23/19,357.29
  6. Step 6: Final answer
    x = 12,399.09

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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.