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Finding the Fourth Proportional to 19,399, 29,098.50 and 6,252.72

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Solution

The fourth proportional to 19,399, 29,098.50 and 6,252.72 is: 9,379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,399 : 29,098.50 = 6,252.72 : x
  2. Step 2: Convert to fraction form
    19,399/29,098.50 = 6,252.72/x
  3. Step 3: Cross multiply
    19,399x = 29,098.50 × 6,252.72
  4. Step 4: Simplify right side
    19,399x = 181,944,772.92
  5. Step 5: Solve for x
    x = 181,944,772.92/19,399
  6. Step 6: Final answer
    x = 9,379.08

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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.