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Finding the Fourth Proportional to 19,805.41, 29,693.08 and 8,548.74

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Solution

The fourth proportional to 19,805.41, 29,693.08 and 8,548.74 is: 12,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.41 : 29,693.08 = 8,548.74 : x
  2. Step 2: Convert to fraction form
    19,805.41/29,693.08 = 8,548.74/x
  3. Step 3: Cross multiply
    19,805.41x = 29,693.08 × 8,548.74
  4. Step 4: Simplify right side
    19,805.41x = 253,838,431.41
  5. Step 5: Solve for x
    x = 253,838,431.41/19,805.41
  6. Step 6: Final answer
    x = 12,816.62

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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.