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Finding the Fourth Proportional to 14,500.44, 21,742.26 and 7,737.68

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Solution

The fourth proportional to 14,500.44, 21,742.26 and 7,737.68 is: 11,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.44 : 21,742.26 = 7,737.68 : x
  2. Step 2: Convert to fraction form
    14,500.44/21,742.26 = 7,737.68/x
  3. Step 3: Cross multiply
    14,500.44x = 21,742.26 × 7,737.68
  4. Step 4: Simplify right side
    14,500.44x = 168,234,541.65
  5. Step 5: Solve for x
    x = 168,234,541.65/14,500.44
  6. Step 6: Final answer
    x = 11,602.03

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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.