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Finding the Fourth Proportional to 14,859.14, 20,505.84 and 8,144.72

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Solution

The fourth proportional to 14,859.14, 20,505.84 and 8,144.72 is: 11,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,859.14 : 20,505.84 = 8,144.72 : x
  2. Step 2: Convert to fraction form
    14,859.14/20,505.84 = 8,144.72/x
  3. Step 3: Cross multiply
    14,859.14x = 20,505.84 × 8,144.72
  4. Step 4: Simplify right side
    14,859.14x = 167,014,325.16
  5. Step 5: Solve for x
    x = 167,014,325.16/14,859.14
  6. Step 6: Final answer
    x = 11,239.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.