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Finding the Fourth Proportional to 21,730.50, 29,988.12 and 11,794.50

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Solution

The fourth proportional to 21,730.50, 29,988.12 and 11,794.50 is: 16,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.50 : 29,988.12 = 11,794.50 : x
  2. Step 2: Convert to fraction form
    21,730.50/29,988.12 = 11,794.50/x
  3. Step 3: Cross multiply
    21,730.50x = 29,988.12 × 11,794.50
  4. Step 4: Simplify right side
    21,730.50x = 353,694,881.34
  5. Step 5: Solve for x
    x = 353,694,881.34/21,730.50
  6. Step 6: Final answer
    x = 16,276.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.