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Finding the Fourth Proportional to 14,697.20, 22,031.40 and 7,680.80

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Solution

The fourth proportional to 14,697.20, 22,031.40 and 7,680.80 is: 11,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.20 : 22,031.40 = 7,680.80 : x
  2. Step 2: Convert to fraction form
    14,697.20/22,031.40 = 7,680.80/x
  3. Step 3: Cross multiply
    14,697.20x = 22,031.40 × 7,680.80
  4. Step 4: Simplify right side
    14,697.20x = 169,218,777.12
  5. Step 5: Solve for x
    x = 169,218,777.12/14,697.20
  6. Step 6: Final answer
    x = 11,513.67

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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.