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Finding the Fourth Proportional to 20,714.20, 31,075.98 and 7,566.64

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Solution

The fourth proportional to 20,714.20, 31,075.98 and 7,566.64 is: 11,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.20 : 31,075.98 = 7,566.64 : x
  2. Step 2: Convert to fraction form
    20,714.20/31,075.98 = 7,566.64/x
  3. Step 3: Cross multiply
    20,714.20x = 31,075.98 × 7,566.64
  4. Step 4: Simplify right side
    20,714.20x = 235,140,753.31
  5. Step 5: Solve for x
    x = 235,140,753.31/20,714.20
  6. Step 6: Final answer
    x = 11,351.67

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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.