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Finding the Fourth Proportional to 21,942.50, 30,281.41 and 12,006.50

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Solution

The fourth proportional to 21,942.50, 30,281.41 and 12,006.50 is: 16,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.50 : 30,281.41 = 12,006.50 : x
  2. Step 2: Convert to fraction form
    21,942.50/30,281.41 = 12,006.50/x
  3. Step 3: Cross multiply
    21,942.50x = 30,281.41 × 12,006.50
  4. Step 4: Simplify right side
    21,942.50x = 363,573,749.17
  5. Step 5: Solve for x
    x = 363,573,749.17/21,942.50
  6. Step 6: Final answer
    x = 16,569.39

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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.