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Finding the Fourth Proportional to 14,493.88, 21,740.80 and 4,105.64

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Solution

The fourth proportional to 14,493.88, 21,740.80 and 4,105.64 is: 6,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.88 : 21,740.80 = 4,105.64 : x
  2. Step 2: Convert to fraction form
    14,493.88/21,740.80 = 4,105.64/x
  3. Step 3: Cross multiply
    14,493.88x = 21,740.80 × 4,105.64
  4. Step 4: Simplify right side
    14,493.88x = 89,259,898.11
  5. Step 5: Solve for x
    x = 89,259,898.11/14,493.88
  6. Step 6: Final answer
    x = 6,158.45

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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.