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Finding the Fourth Proportional to 19,892.60, 29,827.54 and 8,191.88

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Solution

The fourth proportional to 19,892.60, 29,827.54 and 8,191.88 is: 12,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.60 : 29,827.54 = 8,191.88 : x
  2. Step 2: Convert to fraction form
    19,892.60/29,827.54 = 8,191.88/x
  3. Step 3: Cross multiply
    19,892.60x = 29,827.54 × 8,191.88
  4. Step 4: Simplify right side
    19,892.60x = 244,343,628.38
  5. Step 5: Solve for x
    x = 244,343,628.38/19,892.60
  6. Step 6: Final answer
    x = 12,283.14

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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.