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Finding the Fourth Proportional to 21,000.70, 31,501.05 and 12,706.30

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Solution

The fourth proportional to 21,000.70, 31,501.05 and 12,706.30 is: 19,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.70 : 31,501.05 = 12,706.30 : x
  2. Step 2: Convert to fraction form
    21,000.70/31,501.05 = 12,706.30/x
  3. Step 3: Cross multiply
    21,000.70x = 31,501.05 × 12,706.30
  4. Step 4: Simplify right side
    21,000.70x = 400,261,791.62
  5. Step 5: Solve for x
    x = 400,261,791.62/21,000.70
  6. Step 6: Final answer
    x = 19,059.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.