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Finding the Fourth Proportional to 21,043.40, 31,563.85 and 7,894.67

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Solution

The fourth proportional to 21,043.40, 31,563.85 and 7,894.67 is: 11,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.40 : 31,563.85 = 7,894.67 : x
  2. Step 2: Convert to fraction form
    21,043.40/31,563.85 = 7,894.67/x
  3. Step 3: Cross multiply
    21,043.40x = 31,563.85 × 7,894.67
  4. Step 4: Simplify right side
    21,043.40x = 249,186,179.68
  5. Step 5: Solve for x
    x = 249,186,179.68/21,043.40
  6. Step 6: Final answer
    x = 11,841.54

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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.