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Finding the Fourth Proportional to 19,805.14, 29,718.65 and 8,115.63

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Solution

The fourth proportional to 19,805.14, 29,718.65 and 8,115.63 is: 12,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.14 : 29,718.65 = 8,115.63 : x
  2. Step 2: Convert to fraction form
    19,805.14/29,718.65 = 8,115.63/x
  3. Step 3: Cross multiply
    19,805.14x = 29,718.65 × 8,115.63
  4. Step 4: Simplify right side
    19,805.14x = 241,185,567.50
  5. Step 5: Solve for x
    x = 241,185,567.50/19,805.14
  6. Step 6: Final answer
    x = 12,177.93

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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.