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Finding the Fourth Proportional to 14,551.21, 21,835.02 and 7,156.42

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Solution

The fourth proportional to 14,551.21, 21,835.02 and 7,156.42 is: 10,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.21 : 21,835.02 = 7,156.42 : x
  2. Step 2: Convert to fraction form
    14,551.21/21,835.02 = 7,156.42/x
  3. Step 3: Cross multiply
    14,551.21x = 21,835.02 × 7,156.42
  4. Step 4: Simplify right side
    14,551.21x = 156,260,573.83
  5. Step 5: Solve for x
    x = 156,260,573.83/14,551.21
  6. Step 6: Final answer
    x = 10,738.67

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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.