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Finding the Fourth Proportional to 21,113.30, 31,657.38 and 7,069.92

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Solution

The fourth proportional to 21,113.30, 31,657.38 and 7,069.92 is: 10,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.30 : 31,657.38 = 7,069.92 : x
  2. Step 2: Convert to fraction form
    21,113.30/31,657.38 = 7,069.92/x
  3. Step 3: Cross multiply
    21,113.30x = 31,657.38 × 7,069.92
  4. Step 4: Simplify right side
    21,113.30x = 223,815,144.01
  5. Step 5: Solve for x
    x = 223,815,144.01/21,113.30
  6. Step 6: Final answer
    x = 10,600.67

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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.